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Finding the Fourth Proportional to 390,090.62, 585,157.80 and 109,586

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Solution

The fourth proportional to 390,090.62, 585,157.80 and 109,586 is: 164,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,090.62 : 585,157.80 = 109,586 : x
  2. Step 2: Convert to fraction form
    390,090.62/585,157.80 = 109,586/x
  3. Step 3: Cross multiply
    390,090.62x = 585,157.80 × 109,586
  4. Step 4: Simplify right side
    390,090.62x = 64,125,102,670.80
  5. Step 5: Solve for x
    x = 64,125,102,670.80/390,090.62
  6. Step 6: Final answer
    x = 164,385.14

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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.