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Finding the Fourth Proportional to 400,642.85, 552,866.13 and 219,320.06

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Solution

The fourth proportional to 400,642.85, 552,866.13 and 219,320.06 is: 302,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,642.85 : 552,866.13 = 219,320.06 : x
  2. Step 2: Convert to fraction form
    400,642.85/552,866.13 = 219,320.06/x
  3. Step 3: Cross multiply
    400,642.85x = 552,866.13 × 219,320.06
  4. Step 4: Simplify right side
    400,642.85x = 121,254,630,039.24
  5. Step 5: Solve for x
    x = 121,254,630,039.24/400,642.85
  6. Step 6: Final answer
    x = 302,650.18

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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.