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Finding the Fourth Proportional to 209,987.30, 314,980.95 and 157,499.30

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Solution

The fourth proportional to 209,987.30, 314,980.95 and 157,499.30 is: 236,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,987.30 : 314,980.95 = 157,499.30 : x
  2. Step 2: Convert to fraction form
    209,987.30/314,980.95 = 157,499.30/x
  3. Step 3: Cross multiply
    209,987.30x = 314,980.95 × 157,499.30
  4. Step 4: Simplify right side
    209,987.30x = 49,609,279,138.34
  5. Step 5: Solve for x
    x = 49,609,279,138.34/209,987.30
  6. Step 6: Final answer
    x = 236,248.95

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Similar ratio
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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.