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Finding the Fourth Proportional to 428,307.24, 642,402.54 and 112,737.72

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Solution

The fourth proportional to 428,307.24, 642,402.54 and 112,737.72 is: 169,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,307.24 : 642,402.54 = 112,737.72 : x
  2. Step 2: Convert to fraction form
    428,307.24/642,402.54 = 112,737.72/x
  3. Step 3: Cross multiply
    428,307.24x = 642,402.54 × 112,737.72
  4. Step 4: Simplify right side
    428,307.24x = 72,422,997,681.81
  5. Step 5: Solve for x
    x = 72,422,997,681.81/428,307.24
  6. Step 6: Final answer
    x = 169,091.23

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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.