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Finding the Fourth Proportional to 493,413.40, 738,807.90 and 314,954.20

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Solution

The fourth proportional to 493,413.40, 738,807.90 and 314,954.20 is: 471,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,413.40 : 738,807.90 = 314,954.20 : x
  2. Step 2: Convert to fraction form
    493,413.40/738,807.90 = 314,954.20/x
  3. Step 3: Cross multiply
    493,413.40x = 738,807.90 × 314,954.20
  4. Step 4: Simplify right side
    493,413.40x = 232,690,651,098.18
  5. Step 5: Solve for x
    x = 232,690,651,098.18/493,413.40
  6. Step 6: Final answer
    x = 471,593.70

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1.5x scale

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.