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Finding the Fourth Proportional to 516,154.78, 712,267.93 and 286,726.64

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Solution

The fourth proportional to 516,154.78, 712,267.93 and 286,726.64 is: 395,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,154.78 : 712,267.93 = 286,726.64 : x
  2. Step 2: Convert to fraction form
    516,154.78/712,267.93 = 286,726.64/x
  3. Step 3: Cross multiply
    516,154.78x = 712,267.93 × 286,726.64
  4. Step 4: Simplify right side
    516,154.78x = 204,226,187,145.72
  5. Step 5: Solve for x
    x = 204,226,187,145.72/516,154.78
  6. Step 6: Final answer
    x = 395,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.