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Finding the Fourth Proportional to 434,876.40, 652,314.60 and 293,158.80

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Solution

The fourth proportional to 434,876.40, 652,314.60 and 293,158.80 is: 439,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,876.40 : 652,314.60 = 293,158.80 : x
  2. Step 2: Convert to fraction form
    434,876.40/652,314.60 = 293,158.80/x
  3. Step 3: Cross multiply
    434,876.40x = 652,314.60 × 293,158.80
  4. Step 4: Simplify right side
    434,876.40x = 191,231,765,358.48
  5. Step 5: Solve for x
    x = 191,231,765,358.48/434,876.40
  6. Step 6: Final answer
    x = 439,738.20

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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.