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Finding the Fourth Proportional to 442,077.84, 663,246.15 and 142,552.40

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Solution

The fourth proportional to 442,077.84, 663,246.15 and 142,552.40 is: 213,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,077.84 : 663,246.15 = 142,552.40 : x
  2. Step 2: Convert to fraction form
    442,077.84/663,246.15 = 142,552.40/x
  3. Step 3: Cross multiply
    442,077.84x = 663,246.15 × 142,552.40
  4. Step 4: Simplify right side
    442,077.84x = 94,547,327,157.03
  5. Step 5: Solve for x
    x = 94,547,327,157.03/442,077.84
  6. Step 6: Final answer
    x = 213,870.32

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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.