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Finding the Fourth Proportional to 516,475.71, 774,758.16 and 142,498.71

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Solution

The fourth proportional to 516,475.71, 774,758.16 and 142,498.71 is: 213,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,475.71 : 774,758.16 = 142,498.71 : x
  2. Step 2: Convert to fraction form
    516,475.71/774,758.16 = 142,498.71/x
  3. Step 3: Cross multiply
    516,475.71x = 774,758.16 × 142,498.71
  4. Step 4: Simplify right side
    516,475.71x = 110,402,038,361.97
  5. Step 5: Solve for x
    x = 110,402,038,361.97/516,475.71
  6. Step 6: Final answer
    x = 213,760.37

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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.