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Finding the Fourth Proportional to 287,589.84, 431,252.56 and 97,973.04

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Solution

The fourth proportional to 287,589.84, 431,252.56 and 97,973.04 is: 146,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,589.84 : 431,252.56 = 97,973.04 : x
  2. Step 2: Convert to fraction form
    287,589.84/431,252.56 = 97,973.04/x
  3. Step 3: Cross multiply
    287,589.84x = 431,252.56 × 97,973.04
  4. Step 4: Simplify right side
    287,589.84x = 42,251,124,310.98
  5. Step 5: Solve for x
    x = 42,251,124,310.98/287,589.84
  6. Step 6: Final answer
    x = 146,914.52

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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.