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Finding the Fourth Proportional to 442,075.68, 663,112.80 and 109,651.68

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Solution

The fourth proportional to 442,075.68, 663,112.80 and 109,651.68 is: 164,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,075.68 : 663,112.80 = 109,651.68 : x
  2. Step 2: Convert to fraction form
    442,075.68/663,112.80 = 109,651.68/x
  3. Step 3: Cross multiply
    442,075.68x = 663,112.80 × 109,651.68
  4. Step 4: Simplify right side
    442,075.68x = 72,711,432,549.50
  5. Step 5: Solve for x
    x = 72,711,432,549.50/442,075.68
  6. Step 6: Final answer
    x = 164,477.34

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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.