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Finding the Fourth Proportional to 402,720.16, 555,742.32 and 221,431.84

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Solution

The fourth proportional to 402,720.16, 555,742.32 and 221,431.84 is: 305,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,720.16 : 555,742.32 = 221,431.84 : x
  2. Step 2: Convert to fraction form
    402,720.16/555,742.32 = 221,431.84/x
  3. Step 3: Cross multiply
    402,720.16x = 555,742.32 × 221,431.84
  4. Step 4: Simplify right side
    402,720.16x = 123,059,044,483.47
  5. Step 5: Solve for x
    x = 123,059,044,483.47/402,720.16
  6. Step 6: Final answer
    x = 305,569.62

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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.