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Finding the Fourth Proportional to 209,679.47, 314,256.76 and 165,130.28

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Solution

The fourth proportional to 209,679.47, 314,256.76 and 165,130.28 is: 247,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,679.47 : 314,256.76 = 165,130.28 : x
  2. Step 2: Convert to fraction form
    209,679.47/314,256.76 = 165,130.28/x
  3. Step 3: Cross multiply
    209,679.47x = 314,256.76 × 165,130.28
  4. Step 4: Simplify right side
    209,679.47x = 51,893,304,373.76
  5. Step 5: Solve for x
    x = 51,893,304,373.76/209,679.47
  6. Step 6: Final answer
    x = 247,488.73

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1.5x scale

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.