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Finding the Fourth Proportional to 496,941.60, 745,418.88 and 141,967.20

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Solution

The fourth proportional to 496,941.60, 745,418.88 and 141,967.20 is: 212,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,941.60 : 745,418.88 = 141,967.20 : x
  2. Step 2: Convert to fraction form
    496,941.60/745,418.88 = 141,967.20/x
  3. Step 3: Cross multiply
    496,941.60x = 745,418.88 × 141,967.20
  4. Step 4: Simplify right side
    496,941.60x = 105,825,031,220.74
  5. Step 5: Solve for x
    x = 105,825,031,220.74/496,941.60
  6. Step 6: Final answer
    x = 212,952.65

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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.