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Finding the Fourth Proportional to 478,301.23, 717,553.05 and 158,435

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Solution

The fourth proportional to 478,301.23, 717,553.05 and 158,435 is: 237,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,301.23 : 717,553.05 = 158,435 : x
  2. Step 2: Convert to fraction form
    478,301.23/717,553.05 = 158,435/x
  3. Step 3: Cross multiply
    478,301.23x = 717,553.05 × 158,435
  4. Step 4: Simplify right side
    478,301.23x = 113,685,517,476.75
  5. Step 5: Solve for x
    x = 113,685,517,476.75/478,301.23
  6. Step 6: Final answer
    x = 237,686.02

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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.