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Finding the Fourth Proportional to 434,539.60, 651,841.80 and 154,020.40

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Solution

The fourth proportional to 434,539.60, 651,841.80 and 154,020.40 is: 231,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,539.60 : 651,841.80 = 154,020.40 : x
  2. Step 2: Convert to fraction form
    434,539.60/651,841.80 = 154,020.40/x
  3. Step 3: Cross multiply
    434,539.60x = 651,841.80 × 154,020.40
  4. Step 4: Simplify right side
    434,539.60x = 100,396,934,772.72
  5. Step 5: Solve for x
    x = 100,396,934,772.72/434,539.60
  6. Step 6: Final answer
    x = 231,042.08

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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.