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Finding the Fourth Proportional to 457,494.51, 686,047.35 and 187,436.73

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Solution

The fourth proportional to 457,494.51, 686,047.35 and 187,436.73 is: 281,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,494.51 : 686,047.35 = 187,436.73 : x
  2. Step 2: Convert to fraction form
    457,494.51/686,047.35 = 187,436.73/x
  3. Step 3: Cross multiply
    457,494.51x = 686,047.35 × 187,436.73
  4. Step 4: Simplify right side
    457,494.51x = 128,590,471,909.17
  5. Step 5: Solve for x
    x = 128,590,471,909.17/457,494.51
  6. Step 6: Final answer
    x = 281,075.44

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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.