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Finding the Fourth Proportional to 381,779.88, 572,490 and 141,727.47

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Solution

The fourth proportional to 381,779.88, 572,490 and 141,727.47 is: 212,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,779.88 : 572,490 = 141,727.47 : x
  2. Step 2: Convert to fraction form
    381,779.88/572,490 = 141,727.47/x
  3. Step 3: Cross multiply
    381,779.88x = 572,490 × 141,727.47
  4. Step 4: Simplify right side
    381,779.88x = 81,137,559,300.30
  5. Step 5: Solve for x
    x = 81,137,559,300.30/381,779.88
  6. Step 6: Final answer
    x = 212,524.45

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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.