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Finding the Fourth Proportional to 209,024.70, 313,354.80 and 142,248.30

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Solution

The fourth proportional to 209,024.70, 313,354.80 and 142,248.30 is: 213,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,024.70 : 313,354.80 = 142,248.30 : x
  2. Step 2: Convert to fraction form
    209,024.70/313,354.80 = 142,248.30/x
  3. Step 3: Cross multiply
    209,024.70x = 313,354.80 × 142,248.30
  4. Step 4: Simplify right side
    209,024.70x = 44,574,187,596.84
  5. Step 5: Solve for x
    x = 44,574,187,596.84/209,024.70
  6. Step 6: Final answer
    x = 213,248.42

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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.