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Finding the Fourth Proportional to 343,509.13, 474,042.80 and 209,373.13

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Solution

The fourth proportional to 343,509.13, 474,042.80 and 209,373.13 is: 288,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,509.13 : 474,042.80 = 209,373.13 : x
  2. Step 2: Convert to fraction form
    343,509.13/474,042.80 = 209,373.13/x
  3. Step 3: Cross multiply
    343,509.13x = 474,042.80 × 209,373.13
  4. Step 4: Simplify right side
    343,509.13x = 99,251,824,789.96
  5. Step 5: Solve for x
    x = 99,251,824,789.96/343,509.13
  6. Step 6: Final answer
    x = 288,935.04

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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.