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Finding the Fourth Proportional to 650,139.62, 975,402.61 and 313,082.82

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Solution

The fourth proportional to 650,139.62, 975,402.61 and 313,082.82 is: 469,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,139.62 : 975,402.61 = 313,082.82 : x
  2. Step 2: Convert to fraction form
    650,139.62/975,402.61 = 313,082.82/x
  3. Step 3: Cross multiply
    650,139.62x = 975,402.61 × 313,082.82
  4. Step 4: Simplify right side
    650,139.62x = 305,381,798,991.45
  5. Step 5: Solve for x
    x = 305,381,798,991.45/650,139.62
  6. Step 6: Final answer
    x = 469,717.26

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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.