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Finding the Fourth Proportional to 385,413.40, 578,116.91 and 301,244.31

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Solution

The fourth proportional to 385,413.40, 578,116.91 and 301,244.31 is: 451,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,413.40 : 578,116.91 = 301,244.31 : x
  2. Step 2: Convert to fraction form
    385,413.40/578,116.91 = 301,244.31/x
  3. Step 3: Cross multiply
    385,413.40x = 578,116.91 × 301,244.31
  4. Step 4: Simplify right side
    385,413.40x = 174,154,429,591.35
  5. Step 5: Solve for x
    x = 174,154,429,591.35/385,413.40
  6. Step 6: Final answer
    x = 451,863.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.