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Finding the Fourth Proportional to 435,407.56, 653,353.26 and 235,725

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Solution

The fourth proportional to 435,407.56, 653,353.26 and 235,725 is: 353,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,407.56 : 653,353.26 = 235,725 : x
  2. Step 2: Convert to fraction form
    435,407.56/653,353.26 = 235,725/x
  3. Step 3: Cross multiply
    435,407.56x = 653,353.26 × 235,725
  4. Step 4: Simplify right side
    435,407.56x = 154,011,697,213.50
  5. Step 5: Solve for x
    x = 154,011,697,213.50/435,407.56
  6. Step 6: Final answer
    x = 353,718.47

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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.