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Finding the Fourth Proportional to 316,888.02, 475,012.20 and 198,642.42

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Solution

The fourth proportional to 316,888.02, 475,012.20 and 198,642.42 is: 297,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,888.02 : 475,012.20 = 198,642.42 : x
  2. Step 2: Convert to fraction form
    316,888.02/475,012.20 = 198,642.42/x
  3. Step 3: Cross multiply
    316,888.02x = 475,012.20 × 198,642.42
  4. Step 4: Simplify right side
    316,888.02x = 94,357,572,937.52
  5. Step 5: Solve for x
    x = 94,357,572,937.52/316,888.02
  6. Step 6: Final answer
    x = 297,763.14

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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.