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Finding the Fourth Proportional to 235,412.90, 353,119.35 and 209,608.10

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Solution

The fourth proportional to 235,412.90, 353,119.35 and 209,608.10 is: 314,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,412.90 : 353,119.35 = 209,608.10 : x
  2. Step 2: Convert to fraction form
    235,412.90/353,119.35 = 209,608.10/x
  3. Step 3: Cross multiply
    235,412.90x = 353,119.35 × 209,608.10
  4. Step 4: Simplify right side
    235,412.90x = 74,016,676,026.74
  5. Step 5: Solve for x
    x = 74,016,676,026.74/235,412.90
  6. Step 6: Final answer
    x = 314,412.15

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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.