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Finding the Fourth Proportional to 441,971.20, 663,052.80 and 161,488

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Solution

The fourth proportional to 441,971.20, 663,052.80 and 161,488 is: 242,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,971.20 : 663,052.80 = 161,488 : x
  2. Step 2: Convert to fraction form
    441,971.20/663,052.80 = 161,488/x
  3. Step 3: Cross multiply
    441,971.20x = 663,052.80 × 161,488
  4. Step 4: Simplify right side
    441,971.20x = 107,075,070,566.40
  5. Step 5: Solve for x
    x = 107,075,070,566.40/441,971.20
  6. Step 6: Final answer
    x = 242,267.08

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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.