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Finding the Fourth Proportional to 434,853.20, 652,279.80 and 302,142.80

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Solution

The fourth proportional to 434,853.20, 652,279.80 and 302,142.80 is: 453,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,853.20 : 652,279.80 = 302,142.80 : x
  2. Step 2: Convert to fraction form
    434,853.20/652,279.80 = 302,142.80/x
  3. Step 3: Cross multiply
    434,853.20x = 652,279.80 × 302,142.80
  4. Step 4: Simplify right side
    434,853.20x = 197,081,645,155.44
  5. Step 5: Solve for x
    x = 197,081,645,155.44/434,853.20
  6. Step 6: Final answer
    x = 453,214.20

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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.