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Finding the Fourth Proportional to 457,572, 631,449.36 and 278,724

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Solution

The fourth proportional to 457,572, 631,449.36 and 278,724 is: 384,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,572 : 631,449.36 = 278,724 : x
  2. Step 2: Convert to fraction form
    457,572/631,449.36 = 278,724/x
  3. Step 3: Cross multiply
    457,572x = 631,449.36 × 278,724
  4. Step 4: Simplify right side
    457,572x = 176,000,091,416.64
  5. Step 5: Solve for x
    x = 176,000,091,416.64/457,572
  6. Step 6: Final answer
    x = 384,639.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.