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Finding the Fourth Proportional to 474,963.98, 712,482.87 and 138,009.47

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Solution

The fourth proportional to 474,963.98, 712,482.87 and 138,009.47 is: 207,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,963.98 : 712,482.87 = 138,009.47 : x
  2. Step 2: Convert to fraction form
    474,963.98/712,482.87 = 138,009.47/x
  3. Step 3: Cross multiply
    474,963.98x = 712,482.87 × 138,009.47
  4. Step 4: Simplify right side
    474,963.98x = 98,329,379,710.36
  5. Step 5: Solve for x
    x = 98,329,379,710.36/474,963.98
  6. Step 6: Final answer
    x = 207,024.92

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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.