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Finding the Fourth Proportional to 435,594.50, 653,416.38 and 155,111.78

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Solution

The fourth proportional to 435,594.50, 653,416.38 and 155,111.78 is: 232,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,594.50 : 653,416.38 = 155,111.78 : x
  2. Step 2: Convert to fraction form
    435,594.50/653,416.38 = 155,111.78/x
  3. Step 3: Cross multiply
    435,594.50x = 653,416.38 × 155,111.78
  4. Step 4: Simplify right side
    435,594.50x = 101,352,577,782.96
  5. Step 5: Solve for x
    x = 101,352,577,782.96/435,594.50
  6. Step 6: Final answer
    x = 232,676.44

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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.