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Finding the Fourth Proportional to 390,142, 585,213.24 and 94,654

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Solution

The fourth proportional to 390,142, 585,213.24 and 94,654 is: 141,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,142 : 585,213.24 = 94,654 : x
  2. Step 2: Convert to fraction form
    390,142/585,213.24 = 94,654/x
  3. Step 3: Cross multiply
    390,142x = 585,213.24 × 94,654
  4. Step 4: Simplify right side
    390,142x = 55,392,774,018.96
  5. Step 5: Solve for x
    x = 55,392,774,018.96/390,142
  6. Step 6: Final answer
    x = 141,981.06

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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.