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Finding the Fourth Proportional to 454,904.20, 681,044.10 and 402,416.20

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Solution

The fourth proportional to 454,904.20, 681,044.10 and 402,416.20 is: 602,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,904.20 : 681,044.10 = 402,416.20 : x
  2. Step 2: Convert to fraction form
    454,904.20/681,044.10 = 402,416.20/x
  3. Step 3: Cross multiply
    454,904.20x = 681,044.10 × 402,416.20
  4. Step 4: Simplify right side
    454,904.20x = 274,063,178,754.42
  5. Step 5: Solve for x
    x = 274,063,178,754.42/454,904.20
  6. Step 6: Final answer
    x = 602,463.50

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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.