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Finding the Fourth Proportional to 457,534.10, 686,409.86 and 158,017.16

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Solution

The fourth proportional to 457,534.10, 686,409.86 and 158,017.16 is: 237,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,534.10 : 686,409.86 = 158,017.16 : x
  2. Step 2: Convert to fraction form
    457,534.10/686,409.86 = 158,017.16/x
  3. Step 3: Cross multiply
    457,534.10x = 686,409.86 × 158,017.16
  4. Step 4: Simplify right side
    457,534.10x = 108,464,538,784.27
  5. Step 5: Solve for x
    x = 108,464,538,784.27/457,534.10
  6. Step 6: Final answer
    x = 237,063.29

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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.