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Finding the Fourth Proportional to 390,024.87, 585,059.19 and 109,520.25

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Solution

The fourth proportional to 390,024.87, 585,059.19 and 109,520.25 is: 164,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,024.87 : 585,059.19 = 109,520.25 : x
  2. Step 2: Convert to fraction form
    390,024.87/585,059.19 = 109,520.25/x
  3. Step 3: Cross multiply
    390,024.87x = 585,059.19 × 109,520.25
  4. Step 4: Simplify right side
    390,024.87x = 64,075,828,753.60
  5. Step 5: Solve for x
    x = 64,075,828,753.60/390,024.87
  6. Step 6: Final answer
    x = 164,286.52

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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.