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Finding the Fourth Proportional to 314,799.90, 472,309.20 and 137,434.20

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Solution

The fourth proportional to 314,799.90, 472,309.20 and 137,434.20 is: 206,199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,799.90 : 472,309.20 = 137,434.20 : x
  2. Step 2: Convert to fraction form
    314,799.90/472,309.20 = 137,434.20/x
  3. Step 3: Cross multiply
    314,799.90x = 472,309.20 × 137,434.20
  4. Step 4: Simplify right side
    314,799.90x = 64,911,437,054.64
  5. Step 5: Solve for x
    x = 64,911,437,054.64/314,799.90
  6. Step 6: Final answer
    x = 206,199.04

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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.