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Finding the Fourth Proportional to 390,072.60, 584,648.10 and 165,432.60

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Solution

The fourth proportional to 390,072.60, 584,648.10 and 165,432.60 is: 247,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,072.60 : 584,648.10 = 165,432.60 : x
  2. Step 2: Convert to fraction form
    390,072.60/584,648.10 = 165,432.60/x
  3. Step 3: Cross multiply
    390,072.60x = 584,648.10 × 165,432.60
  4. Step 4: Simplify right side
    390,072.60x = 96,719,855,268.06
  5. Step 5: Solve for x
    x = 96,719,855,268.06/390,072.60
  6. Step 6: Final answer
    x = 247,953.47

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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.