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Finding the Fourth Proportional to 497,672.80, 745,688.40 and 286,943.20

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Solution

The fourth proportional to 497,672.80, 745,688.40 and 286,943.20 is: 429,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,672.80 : 745,688.40 = 286,943.20 : x
  2. Step 2: Convert to fraction form
    497,672.80/745,688.40 = 286,943.20/x
  3. Step 3: Cross multiply
    497,672.80x = 745,688.40 × 286,943.20
  4. Step 4: Simplify right side
    497,672.80x = 213,970,215,698.88
  5. Step 5: Solve for x
    x = 213,970,215,698.88/497,672.80
  6. Step 6: Final answer
    x = 429,941.55

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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.