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Finding the Fourth Proportional to 409,834.80, 614,752.20 and 223,210.80

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Solution

The fourth proportional to 409,834.80, 614,752.20 and 223,210.80 is: 334,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,834.80 : 614,752.20 = 223,210.80 : x
  2. Step 2: Convert to fraction form
    409,834.80/614,752.20 = 223,210.80/x
  3. Step 3: Cross multiply
    409,834.80x = 614,752.20 × 223,210.80
  4. Step 4: Simplify right side
    409,834.80x = 137,219,330,363.76
  5. Step 5: Solve for x
    x = 137,219,330,363.76/409,834.80
  6. Step 6: Final answer
    x = 334,816.20

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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.