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Finding the Fourth Proportional to 457,538.85, 686,416.95 and 158,021.91

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Solution

The fourth proportional to 457,538.85, 686,416.95 and 158,021.91 is: 237,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,538.85 : 686,416.95 = 158,021.91 : x
  2. Step 2: Convert to fraction form
    457,538.85/686,416.95 = 158,021.91/x
  3. Step 3: Cross multiply
    457,538.85x = 686,416.95 × 158,021.91
  4. Step 4: Simplify right side
    457,538.85x = 108,468,917,495.38
  5. Step 5: Solve for x
    x = 108,468,917,495.38/457,538.85
  6. Step 6: Final answer
    x = 237,070.40

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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.