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Finding the Fourth Proportional to 429,461.52, 643,940.64 and 287,468.52

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Solution

The fourth proportional to 429,461.52, 643,940.64 and 287,468.52 is: 431,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,461.52 : 643,940.64 = 287,468.52 : x
  2. Step 2: Convert to fraction form
    429,461.52/643,940.64 = 287,468.52/x
  3. Step 3: Cross multiply
    429,461.52x = 643,940.64 × 287,468.52
  4. Step 4: Simplify right side
    429,461.52x = 185,112,662,748.65
  5. Step 5: Solve for x
    x = 185,112,662,748.65/429,461.52
  6. Step 6: Final answer
    x = 431,034.34

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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.