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Finding the Fourth Proportional to 434,048.80, 651,073.20 and 308,077.60

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Solution

The fourth proportional to 434,048.80, 651,073.20 and 308,077.60 is: 462,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,048.80 : 651,073.20 = 308,077.60 : x
  2. Step 2: Convert to fraction form
    434,048.80/651,073.20 = 308,077.60/x
  3. Step 3: Cross multiply
    434,048.80x = 651,073.20 × 308,077.60
  4. Step 4: Simplify right side
    434,048.80x = 200,581,068,880.32
  5. Step 5: Solve for x
    x = 200,581,068,880.32/434,048.80
  6. Step 6: Final answer
    x = 462,116.40

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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.