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Finding the Fourth Proportional to 390,069.60, 584,643.60 and 165,429.60

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Solution

The fourth proportional to 390,069.60, 584,643.60 and 165,429.60 is: 247,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,069.60 : 584,643.60 = 165,429.60 : x
  2. Step 2: Convert to fraction form
    390,069.60/584,643.60 = 165,429.60/x
  3. Step 3: Cross multiply
    390,069.60x = 584,643.60 × 165,429.60
  4. Step 4: Simplify right side
    390,069.60x = 96,717,356,890.56
  5. Step 5: Solve for x
    x = 96,717,356,890.56/390,069.60
  6. Step 6: Final answer
    x = 247,948.97

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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.