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Finding the Fourth Proportional to 209,909.70, 314,864.55 and 76,794.30

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Solution

The fourth proportional to 209,909.70, 314,864.55 and 76,794.30 is: 115,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909.70 : 314,864.55 = 76,794.30 : x
  2. Step 2: Convert to fraction form
    209,909.70/314,864.55 = 76,794.30/x
  3. Step 3: Cross multiply
    209,909.70x = 314,864.55 × 76,794.30
  4. Step 4: Simplify right side
    209,909.70x = 24,179,802,712.07
  5. Step 5: Solve for x
    x = 24,179,802,712.07/209,909.70
  6. Step 6: Final answer
    x = 115,191.45

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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.