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Finding the Fourth Proportional to 519,428, 715,211.85 and 442,775.27

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Solution

The fourth proportional to 519,428, 715,211.85 and 442,775.27 is: 609,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,428 : 715,211.85 = 442,775.27 : x
  2. Step 2: Convert to fraction form
    519,428/715,211.85 = 442,775.27/x
  3. Step 3: Cross multiply
    519,428x = 715,211.85 × 442,775.27
  4. Step 4: Simplify right side
    519,428x = 316,678,119,990.95
  5. Step 5: Solve for x
    x = 316,678,119,990.95/519,428
  6. Step 6: Final answer
    x = 609,667.02

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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.