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Finding the Fourth Proportional to 209,862.30, 314,793.45 and 76,698.30

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Solution

The fourth proportional to 209,862.30, 314,793.45 and 76,698.30 is: 115,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862.30 : 314,793.45 = 76,698.30 : x
  2. Step 2: Convert to fraction form
    209,862.30/314,793.45 = 76,698.30/x
  3. Step 3: Cross multiply
    209,862.30x = 314,793.45 × 76,698.30
  4. Step 4: Simplify right side
    209,862.30x = 24,144,122,466.14
  5. Step 5: Solve for x
    x = 24,144,122,466.14/209,862.30
  6. Step 6: Final answer
    x = 115,047.45

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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.