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Finding the Fourth Proportional to 492,317.32, 738,475.98 and 155,384.20

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Solution

The fourth proportional to 492,317.32, 738,475.98 and 155,384.20 is: 233,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,317.32 : 738,475.98 = 155,384.20 : x
  2. Step 2: Convert to fraction form
    492,317.32/738,475.98 = 155,384.20/x
  3. Step 3: Cross multiply
    492,317.32x = 738,475.98 × 155,384.20
  4. Step 4: Simplify right side
    492,317.32x = 114,747,499,371.52
  5. Step 5: Solve for x
    x = 114,747,499,371.52/492,317.32
  6. Step 6: Final answer
    x = 233,076.30

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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.