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Finding the Fourth Proportional to 400,642.59, 552,864.87 and 219,319.45

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Solution

The fourth proportional to 400,642.59, 552,864.87 and 219,319.45 is: 302,648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,642.59 : 552,864.87 = 219,319.45 : x
  2. Step 2: Convert to fraction form
    400,642.59/552,864.87 = 219,319.45/x
  3. Step 3: Cross multiply
    400,642.59x = 552,864.87 × 219,319.45
  4. Step 4: Simplify right side
    400,642.59x = 121,254,019,212.72
  5. Step 5: Solve for x
    x = 121,254,019,212.72/400,642.59
  6. Step 6: Final answer
    x = 302,648.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.