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Finding the Fourth Proportional to 454,909.20, 681,051.60 and 402,421.20

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Solution

The fourth proportional to 454,909.20, 681,051.60 and 402,421.20 is: 602,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,909.20 : 681,051.60 = 402,421.20 : x
  2. Step 2: Convert to fraction form
    454,909.20/681,051.60 = 402,421.20/x
  3. Step 3: Cross multiply
    454,909.20x = 681,051.60 × 402,421.20
  4. Step 4: Simplify right side
    454,909.20x = 274,069,602,133.92
  5. Step 5: Solve for x
    x = 274,069,602,133.92/454,909.20
  6. Step 6: Final answer
    x = 602,471.00

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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.