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Finding the Fourth Proportional to 502,413.60, 753,620.40 and 407,935.20

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Solution

The fourth proportional to 502,413.60, 753,620.40 and 407,935.20 is: 611,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,413.60 : 753,620.40 = 407,935.20 : x
  2. Step 2: Convert to fraction form
    502,413.60/753,620.40 = 407,935.20/x
  3. Step 3: Cross multiply
    502,413.60x = 753,620.40 × 407,935.20
  4. Step 4: Simplify right side
    502,413.60x = 307,428,288,598.08
  5. Step 5: Solve for x
    x = 307,428,288,598.08/502,413.60
  6. Step 6: Final answer
    x = 611,902.80

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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.