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Finding the Fourth Proportional to 425,643.68, 638,034.60 and 275,978.72

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Solution

The fourth proportional to 425,643.68, 638,034.60 and 275,978.72 is: 413,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,643.68 : 638,034.60 = 275,978.72 : x
  2. Step 2: Convert to fraction form
    425,643.68/638,034.60 = 275,978.72/x
  3. Step 3: Cross multiply
    425,643.68x = 638,034.60 × 275,978.72
  4. Step 4: Simplify right side
    425,643.68x = 176,083,972,223.71
  5. Step 5: Solve for x
    x = 176,083,972,223.71/425,643.68
  6. Step 6: Final answer
    x = 413,688.68

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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.