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Finding the Fourth Proportional to 402,521.40, 555,479.98 and 221,233.28

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Solution

The fourth proportional to 402,521.40, 555,479.98 and 221,233.28 is: 305,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,521.40 : 555,479.98 = 221,233.28 : x
  2. Step 2: Convert to fraction form
    402,521.40/555,479.98 = 221,233.28/x
  3. Step 3: Cross multiply
    402,521.40x = 555,479.98 × 221,233.28
  4. Step 4: Simplify right side
    402,521.40x = 122,890,654,619.25
  5. Step 5: Solve for x
    x = 122,890,654,619.25/402,521.40
  6. Step 6: Final answer
    x = 305,302.16

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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.