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Finding the Fourth Proportional to 287,304.87, 431,012.79 and 97,757.58

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Solution

The fourth proportional to 287,304.87, 431,012.79 and 97,757.58 is: 146,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,304.87 : 431,012.79 = 97,757.58 : x
  2. Step 2: Convert to fraction form
    287,304.87/431,012.79 = 97,757.58/x
  3. Step 3: Cross multiply
    287,304.87x = 431,012.79 × 97,757.58
  4. Step 4: Simplify right side
    287,304.87x = 42,134,767,299.45
  5. Step 5: Solve for x
    x = 42,134,767,299.45/287,304.87
  6. Step 6: Final answer
    x = 146,655.25

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1.5x scale

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.