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Finding the Fourth Proportional to 766,011, 1,149,275.28 and 339,488.48

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Solution

The fourth proportional to 766,011, 1,149,275.28 and 339,488.48 is: 509,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,011 : 1,149,275.28 = 339,488.48 : x
  2. Step 2: Convert to fraction form
    766,011/1,149,275.28 = 339,488.48/x
  3. Step 3: Cross multiply
    766,011x = 1,149,275.28 × 339,488.48
  4. Step 4: Simplify right side
    766,011x = 390,165,717,908.77
  5. Step 5: Solve for x
    x = 390,165,717,908.77/766,011
  6. Step 6: Final answer
    x = 509,347.41

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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.