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Finding the Fourth Proportional to 370,294.48, 511,008 and 209,151.44

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Solution

The fourth proportional to 370,294.48, 511,008 and 209,151.44 is: 288,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,294.48 : 511,008 = 209,151.44 : x
  2. Step 2: Convert to fraction form
    370,294.48/511,008 = 209,151.44/x
  3. Step 3: Cross multiply
    370,294.48x = 511,008 × 209,151.44
  4. Step 4: Simplify right side
    370,294.48x = 106,878,059,051.52
  5. Step 5: Solve for x
    x = 106,878,059,051.52/370,294.48
  6. Step 6: Final answer
    x = 288,629.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.