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Finding the Fourth Proportional to 415,000.10, 622,500.15 and 310,024.10

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Solution

The fourth proportional to 415,000.10, 622,500.15 and 310,024.10 is: 465,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,000.10 : 622,500.15 = 310,024.10 : x
  2. Step 2: Convert to fraction form
    415,000.10/622,500.15 = 310,024.10/x
  3. Step 3: Cross multiply
    415,000.10x = 622,500.15 × 310,024.10
  4. Step 4: Simplify right side
    415,000.10x = 192,990,048,753.62
  5. Step 5: Solve for x
    x = 192,990,048,753.62/415,000.10
  6. Step 6: Final answer
    x = 465,036.15

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1.5x scale

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.