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Finding the Fourth Proportional to 219,313.70, 328,970.55 and 86,149.70

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Solution

The fourth proportional to 219,313.70, 328,970.55 and 86,149.70 is: 129,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,313.70 : 328,970.55 = 86,149.70 : x
  2. Step 2: Convert to fraction form
    219,313.70/328,970.55 = 86,149.70/x
  3. Step 3: Cross multiply
    219,313.70x = 328,970.55 × 86,149.70
  4. Step 4: Simplify right side
    219,313.70x = 28,340,714,191.34
  5. Step 5: Solve for x
    x = 28,340,714,191.34/219,313.70
  6. Step 6: Final answer
    x = 129,224.55

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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.