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Finding the Fourth Proportional to 428,737.83, 643,106.76 and 113,197.47

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Solution

The fourth proportional to 428,737.83, 643,106.76 and 113,197.47 is: 169,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,737.83 : 643,106.76 = 113,197.47 : x
  2. Step 2: Convert to fraction form
    428,737.83/643,106.76 = 113,197.47/x
  3. Step 3: Cross multiply
    428,737.83x = 643,106.76 × 113,197.47
  4. Step 4: Simplify right side
    428,737.83x = 72,798,061,717.07
  5. Step 5: Solve for x
    x = 72,798,061,717.07/428,737.83
  6. Step 6: Final answer
    x = 169,796.22

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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.