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Finding the Fourth Proportional to 435,642.60, 653,496.30 and 155,123.40

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Solution

The fourth proportional to 435,642.60, 653,496.30 and 155,123.40 is: 232,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,642.60 : 653,496.30 = 155,123.40 : x
  2. Step 2: Convert to fraction form
    435,642.60/653,496.30 = 155,123.40/x
  3. Step 3: Cross multiply
    435,642.60x = 653,496.30 × 155,123.40
  4. Step 4: Simplify right side
    435,642.60x = 101,372,567,943.42
  5. Step 5: Solve for x
    x = 101,372,567,943.42/435,642.60
  6. Step 6: Final answer
    x = 232,696.64

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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.