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Finding the Fourth Proportional to 402,221.52, 555,041.16 and 220,898.16

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Solution

The fourth proportional to 402,221.52, 555,041.16 and 220,898.16 is: 304,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,221.52 : 555,041.16 = 220,898.16 : x
  2. Step 2: Convert to fraction form
    402,221.52/555,041.16 = 220,898.16/x
  3. Step 3: Cross multiply
    402,221.52x = 555,041.16 × 220,898.16
  4. Step 4: Simplify right side
    402,221.52x = 122,607,570,968.27
  5. Step 5: Solve for x
    x = 122,607,570,968.27/402,221.52
  6. Step 6: Final answer
    x = 304,825.98

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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.