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Finding the Fourth Proportional to 478,302.24, 717,554.56 and 158,436

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Solution

The fourth proportional to 478,302.24, 717,554.56 and 158,436 is: 237,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,302.24 : 717,554.56 = 158,436 : x
  2. Step 2: Convert to fraction form
    478,302.24/717,554.56 = 158,436/x
  3. Step 3: Cross multiply
    478,302.24x = 717,554.56 × 158,436
  4. Step 4: Simplify right side
    478,302.24x = 113,686,474,268.16
  5. Step 5: Solve for x
    x = 113,686,474,268.16/478,302.24
  6. Step 6: Final answer
    x = 237,687.52

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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.