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Finding the Fourth Proportional to 435,863.80, 653,642.10 and 155,390.20

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Solution

The fourth proportional to 435,863.80, 653,642.10 and 155,390.20 is: 233,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,863.80 : 653,642.10 = 155,390.20 : x
  2. Step 2: Convert to fraction form
    435,863.80/653,642.10 = 155,390.20/x
  3. Step 3: Cross multiply
    435,863.80x = 653,642.10 × 155,390.20
  4. Step 4: Simplify right side
    435,863.80x = 101,569,576,647.42
  5. Step 5: Solve for x
    x = 101,569,576,647.42/435,863.80
  6. Step 6: Final answer
    x = 233,030.54

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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.