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Finding the Fourth Proportional to 437,909.60, 656,864.40 and 420,413.60

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Solution

The fourth proportional to 437,909.60, 656,864.40 and 420,413.60 is: 630,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,909.60 : 656,864.40 = 420,413.60 : x
  2. Step 2: Convert to fraction form
    437,909.60/656,864.40 = 420,413.60/x
  3. Step 3: Cross multiply
    437,909.60x = 656,864.40 × 420,413.60
  4. Step 4: Simplify right side
    437,909.60x = 276,154,727,115.84
  5. Step 5: Solve for x
    x = 276,154,727,115.84/437,909.60
  6. Step 6: Final answer
    x = 630,620.40

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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.