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Finding the Fourth Proportional to 617,140.80, 925,711.20 and 302,212.80

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Solution

The fourth proportional to 617,140.80, 925,711.20 and 302,212.80 is: 453,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,140.80 : 925,711.20 = 302,212.80 : x
  2. Step 2: Convert to fraction form
    617,140.80/925,711.20 = 302,212.80/x
  3. Step 3: Cross multiply
    617,140.80x = 925,711.20 × 302,212.80
  4. Step 4: Simplify right side
    617,140.80x = 279,761,773,743.36
  5. Step 5: Solve for x
    x = 279,761,773,743.36/617,140.80
  6. Step 6: Final answer
    x = 453,319.20

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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.