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Finding the Fourth Proportional to 435,709.40, 653,564.10 and 155,235.80

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Solution

The fourth proportional to 435,709.40, 653,564.10 and 155,235.80 is: 232,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,709.40 : 653,564.10 = 155,235.80 : x
  2. Step 2: Convert to fraction form
    435,709.40/653,564.10 = 155,235.80/x
  3. Step 3: Cross multiply
    435,709.40x = 653,564.10 × 155,235.80
  4. Step 4: Simplify right side
    435,709.40x = 101,456,545,914.78
  5. Step 5: Solve for x
    x = 101,456,545,914.78/435,709.40
  6. Step 6: Final answer
    x = 232,853.70

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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.