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Finding the Fourth Proportional to 1,098,984.80, 1,648,713.96 and 340,811.12

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Solution

The fourth proportional to 1,098,984.80, 1,648,713.96 and 340,811.12 is: 511,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,984.80 : 1,648,713.96 = 340,811.12 : x
  2. Step 2: Convert to fraction form
    1,098,984.80/1,648,713.96 = 340,811.12/x
  3. Step 3: Cross multiply
    1,098,984.80x = 1,648,713.96 × 340,811.12
  4. Step 4: Simplify right side
    1,098,984.80x = 561,900,051,267.24
  5. Step 5: Solve for x
    x = 561,900,051,267.24/1,098,984.80
  6. Step 6: Final answer
    x = 511,290.10

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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.