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Finding the Fourth Proportional to 370,680.90, 511,534.08 and 209,530.29

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Solution

The fourth proportional to 370,680.90, 511,534.08 and 209,530.29 is: 289,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,680.90 : 511,534.08 = 209,530.29 : x
  2. Step 2: Convert to fraction form
    370,680.90/511,534.08 = 209,530.29/x
  3. Step 3: Cross multiply
    370,680.90x = 511,534.08 × 209,530.29
  4. Step 4: Simplify right side
    370,680.90x = 107,181,884,127.28
  5. Step 5: Solve for x
    x = 107,181,884,127.28/370,680.90
  6. Step 6: Final answer
    x = 289,148.66

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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.