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Finding the Fourth Proportional to 434,624.70, 651,937.05 and 410,130.30

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Solution

The fourth proportional to 434,624.70, 651,937.05 and 410,130.30 is: 615,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,624.70 : 651,937.05 = 410,130.30 : x
  2. Step 2: Convert to fraction form
    434,624.70/651,937.05 = 410,130.30/x
  3. Step 3: Cross multiply
    434,624.70x = 651,937.05 × 410,130.30
  4. Step 4: Simplify right side
    434,624.70x = 267,379,137,897.62
  5. Step 5: Solve for x
    x = 267,379,137,897.62/434,624.70
  6. Step 6: Final answer
    x = 615,195.45

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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.