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Finding the Fourth Proportional to 390,045.18, 584,951.85 and 165,402.30

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Solution

The fourth proportional to 390,045.18, 584,951.85 and 165,402.30 is: 248,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,045.18 : 584,951.85 = 165,402.30 : x
  2. Step 2: Convert to fraction form
    390,045.18/584,951.85 = 165,402.30/x
  3. Step 3: Cross multiply
    390,045.18x = 584,951.85 × 165,402.30
  4. Step 4: Simplify right side
    390,045.18x = 96,752,381,379.26
  5. Step 5: Solve for x
    x = 96,752,381,379.26/390,045.18
  6. Step 6: Final answer
    x = 248,054.29

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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.