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Finding the Fourth Proportional to 654,953.34, 982,373.73 and 398,719.40

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Solution

The fourth proportional to 654,953.34, 982,373.73 and 398,719.40 is: 598,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,953.34 : 982,373.73 = 398,719.40 : x
  2. Step 2: Convert to fraction form
    654,953.34/982,373.73 = 398,719.40/x
  3. Step 3: Cross multiply
    654,953.34x = 982,373.73 × 398,719.40
  4. Step 4: Simplify right side
    654,953.34x = 391,691,461,478.20
  5. Step 5: Solve for x
    x = 391,691,461,478.20/654,953.34
  6. Step 6: Final answer
    x = 598,044.83

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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.