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Finding the Fourth Proportional to 768,083.20, 1,152,643.20 and 431,123.20

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Solution

The fourth proportional to 768,083.20, 1,152,643.20 and 431,123.20 is: 646,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,083.20 : 1,152,643.20 = 431,123.20 : x
  2. Step 2: Convert to fraction form
    768,083.20/1,152,643.20 = 431,123.20/x
  3. Step 3: Cross multiply
    768,083.20x = 1,152,643.20 × 431,123.20
  4. Step 4: Simplify right side
    768,083.20x = 496,931,224,842.24
  5. Step 5: Solve for x
    x = 496,931,224,842.24/768,083.20
  6. Step 6: Final answer
    x = 646,975.78

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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.