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Finding the Fourth Proportional to 431,484.52, 646,718.44 and 194,549.80

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Solution

The fourth proportional to 431,484.52, 646,718.44 and 194,549.80 is: 291,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,484.52 : 646,718.44 = 194,549.80 : x
  2. Step 2: Convert to fraction form
    431,484.52/646,718.44 = 194,549.80/x
  3. Step 3: Cross multiply
    431,484.52x = 646,718.44 × 194,549.80
  4. Step 4: Simplify right side
    431,484.52x = 125,818,943,158.31
  5. Step 5: Solve for x
    x = 125,818,943,158.31/431,484.52
  6. Step 6: Final answer
    x = 291,595.50

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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.