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Finding the Fourth Proportional to 429,518.92, 643,534.18 and 260,685.48

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Solution

The fourth proportional to 429,518.92, 643,534.18 and 260,685.48 is: 390,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,518.92 : 643,534.18 = 260,685.48 : x
  2. Step 2: Convert to fraction form
    429,518.92/643,534.18 = 260,685.48/x
  3. Step 3: Cross multiply
    429,518.92x = 643,534.18 × 260,685.48
  4. Step 4: Simplify right side
    429,518.92x = 167,760,016,609.71
  5. Step 5: Solve for x
    x = 167,760,016,609.71/429,518.92
  6. Step 6: Final answer
    x = 390,576.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.