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Finding the Fourth Proportional to 370,565.78, 511,367.46 and 209,417.30

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Solution

The fourth proportional to 370,565.78, 511,367.46 and 209,417.30 is: 288,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,565.78 : 511,367.46 = 209,417.30 : x
  2. Step 2: Convert to fraction form
    370,565.78/511,367.46 = 209,417.30/x
  3. Step 3: Cross multiply
    370,565.78x = 511,367.46 × 209,417.30
  4. Step 4: Simplify right side
    370,565.78x = 107,089,192,781.06
  5. Step 5: Solve for x
    x = 107,089,192,781.06/370,565.78
  6. Step 6: Final answer
    x = 288,988.35

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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.