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Finding the Fourth Proportional to 402,705.72, 555,722.13 and 221,417.46

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Solution

The fourth proportional to 402,705.72, 555,722.13 and 221,417.46 is: 305,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,705.72 : 555,722.13 = 221,417.46 : x
  2. Step 2: Convert to fraction form
    402,705.72/555,722.13 = 221,417.46/x
  3. Step 3: Cross multiply
    402,705.72x = 555,722.13 × 221,417.46
  4. Step 4: Simplify right side
    402,705.72x = 123,046,582,490.39
  5. Step 5: Solve for x
    x = 123,046,582,490.39/402,705.72
  6. Step 6: Final answer
    x = 305,549.63

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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.