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Finding the Fourth Proportional to 434,184.60, 650,155.24 and 299,663.88

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Solution

The fourth proportional to 434,184.60, 650,155.24 and 299,663.88 is: 448,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,184.60 : 650,155.24 = 299,663.88 : x
  2. Step 2: Convert to fraction form
    434,184.60/650,155.24 = 299,663.88/x
  3. Step 3: Cross multiply
    434,184.60x = 650,155.24 × 299,663.88
  4. Step 4: Simplify right side
    434,184.60x = 194,828,041,820.73
  5. Step 5: Solve for x
    x = 194,828,041,820.73/434,184.60
  6. Step 6: Final answer
    x = 448,721.68

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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.