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Finding the Fourth Proportional to 429,134.91, 643,814.53 and 249,047.22

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Solution

The fourth proportional to 429,134.91, 643,814.53 and 249,047.22 is: 373,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,134.91 : 643,814.53 = 249,047.22 : x
  2. Step 2: Convert to fraction form
    429,134.91/643,814.53 = 249,047.22/x
  3. Step 3: Cross multiply
    429,134.91x = 643,814.53 × 249,047.22
  4. Step 4: Simplify right side
    429,134.91x = 160,340,218,892.11
  5. Step 5: Solve for x
    x = 160,340,218,892.11/429,134.91
  6. Step 6: Final answer
    x = 373,635.92

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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.