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Finding the Fourth Proportional to 435,573.76, 653,827.20 and 342,728.32

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Solution

The fourth proportional to 435,573.76, 653,827.20 and 342,728.32 is: 514,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,573.76 : 653,827.20 = 342,728.32 : x
  2. Step 2: Convert to fraction form
    435,573.76/653,827.20 = 342,728.32/x
  3. Step 3: Cross multiply
    435,573.76x = 653,827.20 × 342,728.32
  4. Step 4: Simplify right side
    435,573.76x = 224,085,097,826.30
  5. Step 5: Solve for x
    x = 224,085,097,826.30/435,573.76
  6. Step 6: Final answer
    x = 514,459.59

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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.