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Finding the Fourth Proportional to 402,742.48, 555,798.88 and 221,468.16

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Solution

The fourth proportional to 402,742.48, 555,798.88 and 221,468.16 is: 305,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,742.48 : 555,798.88 = 221,468.16 : x
  2. Step 2: Convert to fraction form
    402,742.48/555,798.88 = 221,468.16/x
  3. Step 3: Cross multiply
    402,742.48x = 555,798.88 × 221,468.16
  4. Step 4: Simplify right side
    402,742.48x = 123,091,755,283.66
  5. Step 5: Solve for x
    x = 123,091,755,283.66/402,742.48
  6. Step 6: Final answer
    x = 305,633.90

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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.