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Finding the Fourth Proportional to 205,158.70, 307,430.85 and 173,824.30

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Solution

The fourth proportional to 205,158.70, 307,430.85 and 173,824.30 is: 260,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,158.70 : 307,430.85 = 173,824.30 : x
  2. Step 2: Convert to fraction form
    205,158.70/307,430.85 = 173,824.30/x
  3. Step 3: Cross multiply
    205,158.70x = 307,430.85 × 173,824.30
  4. Step 4: Simplify right side
    205,158.70x = 53,438,952,299.66
  5. Step 5: Solve for x
    x = 53,438,952,299.66/205,158.70
  6. Step 6: Final answer
    x = 260,476.17

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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.