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Finding the Fourth Proportional to 390,789.48, 585,878.00 and 154,309.17

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Solution

The fourth proportional to 390,789.48, 585,878.00 and 154,309.17 is: 231,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,789.48 : 585,878.00 = 154,309.17 : x
  2. Step 2: Convert to fraction form
    390,789.48/585,878.00 = 154,309.17/x
  3. Step 3: Cross multiply
    390,789.48x = 585,878.00 × 154,309.17
  4. Step 4: Simplify right side
    390,789.48x = 90,406,348,287.03
  5. Step 5: Solve for x
    x = 90,406,348,287.03/390,789.48
  6. Step 6: Final answer
    x = 231,342.84

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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.