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Finding the Fourth Proportional to 874,385,413.96, 1,205,870,482.02 and 725,470,659.40

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Solution

The fourth proportional to 874,385,413.96, 1,205,870,482.02 and 725,470,659.40 is: 1,000,501,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,385,413.96 : 1,205,870,482.02 = 725,470,659.40 : x
  2. Step 2: Convert to fraction form
    874,385,413.96/1,205,870,482.02 = 725,470,659.40/x
  3. Step 3: Cross multiply
    874,385,413.96x = 1,205,870,482.02 × 725,470,659.40
  4. Step 4: Simplify right side
    874,385,413.96x = 874,823,653,742,045,184
  5. Step 5: Solve for x
    x = 874,823,653,742,045,184/874,385,413.96
  6. Step 6: Final answer
    x = 1,000,501,197.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.