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Finding the Fourth Proportional to 378,403.40, 567,264.06 and 138,346.89

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Solution

The fourth proportional to 378,403.40, 567,264.06 and 138,346.89 is: 207,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,403.40 : 567,264.06 = 138,346.89 : x
  2. Step 2: Convert to fraction form
    378,403.40/567,264.06 = 138,346.89/x
  3. Step 3: Cross multiply
    378,403.40x = 567,264.06 × 138,346.89
  4. Step 4: Simplify right side
    378,403.40x = 78,479,216,382.53
  5. Step 5: Solve for x
    x = 78,479,216,382.53/378,403.40
  6. Step 6: Final answer
    x = 207,395.64

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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.