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Finding the Fourth Proportional to 874,385,411.96, 1,205,870,479.26 and 725,470,657.40

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Solution

The fourth proportional to 874,385,411.96, 1,205,870,479.26 and 725,470,657.40 is: 1,000,501,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,385,411.96 : 1,205,870,479.26 = 725,470,657.40 : x
  2. Step 2: Convert to fraction form
    874,385,411.96/1,205,870,479.26 = 725,470,657.40/x
  3. Step 3: Cross multiply
    874,385,411.96x = 1,205,870,479.26 × 725,470,657.40
  4. Step 4: Simplify right side
    874,385,411.96x = 874,823,649,328,005,248
  5. Step 5: Solve for x
    x = 874,823,649,328,005,248/874,385,411.96
  6. Step 6: Final answer
    x = 1,000,501,194.74

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