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Finding the Fourth Proportional to 406,575, 561,073.50 and 247,599

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Solution

The fourth proportional to 406,575, 561,073.50 and 247,599 is: 341,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,575 : 561,073.50 = 247,599 : x
  2. Step 2: Convert to fraction form
    406,575/561,073.50 = 247,599/x
  3. Step 3: Cross multiply
    406,575x = 561,073.50 × 247,599
  4. Step 4: Simplify right side
    406,575x = 138,921,237,526.50
  5. Step 5: Solve for x
    x = 138,921,237,526.50/406,575
  6. Step 6: Final answer
    x = 341,686.62

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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.