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Finding the Fourth Proportional to 390,038.20, 585,014.10 and 109,583.80

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Solution

The fourth proportional to 390,038.20, 585,014.10 and 109,583.80 is: 164,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,038.20 : 585,014.10 = 109,583.80 : x
  2. Step 2: Convert to fraction form
    390,038.20/585,014.10 = 109,583.80/x
  3. Step 3: Cross multiply
    390,038.20x = 585,014.10 × 109,583.80
  4. Step 4: Simplify right side
    390,038.20x = 64,108,068,131.58
  5. Step 5: Solve for x
    x = 64,108,068,131.58/390,038.20
  6. Step 6: Final answer
    x = 164,363.56

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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.