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Finding the Fourth Proportional to 435,714.40, 653,571.60 and 155,240.80

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Solution

The fourth proportional to 435,714.40, 653,571.60 and 155,240.80 is: 232,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,714.40 : 653,571.60 = 155,240.80 : x
  2. Step 2: Convert to fraction form
    435,714.40/653,571.60 = 155,240.80/x
  3. Step 3: Cross multiply
    435,714.40x = 653,571.60 × 155,240.80
  4. Step 4: Simplify right side
    435,714.40x = 101,460,978,041.28
  5. Step 5: Solve for x
    x = 101,460,978,041.28/435,714.40
  6. Step 6: Final answer
    x = 232,861.20

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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.