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Finding the Fourth Proportional to 522,047.20, 781,515.60 and 311,576.80

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Solution

The fourth proportional to 522,047.20, 781,515.60 and 311,576.80 is: 466,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,047.20 : 781,515.60 = 311,576.80 : x
  2. Step 2: Convert to fraction form
    522,047.20/781,515.60 = 311,576.80/x
  3. Step 3: Cross multiply
    522,047.20x = 781,515.60 × 311,576.80
  4. Step 4: Simplify right side
    522,047.20x = 243,502,129,798.08
  5. Step 5: Solve for x
    x = 243,502,129,798.08/522,047.20
  6. Step 6: Final answer
    x = 466,437.00

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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.