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Finding the Fourth Proportional to 374,813.12, 562,294.80 and 138,156.80

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Solution

The fourth proportional to 374,813.12, 562,294.80 and 138,156.80 is: 207,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,813.12 : 562,294.80 = 138,156.80 : x
  2. Step 2: Convert to fraction form
    374,813.12/562,294.80 = 138,156.80/x
  3. Step 3: Cross multiply
    374,813.12x = 562,294.80 × 138,156.80
  4. Step 4: Simplify right side
    374,813.12x = 77,684,850,224.64
  5. Step 5: Solve for x
    x = 77,684,850,224.64/374,813.12
  6. Step 6: Final answer
    x = 207,262.89

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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.