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Finding the Fourth Proportional to 287,457.02, 431,248.65 and 85,037.28

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Solution

The fourth proportional to 287,457.02, 431,248.65 and 85,037.28 is: 127,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,457.02 : 431,248.65 = 85,037.28 : x
  2. Step 2: Convert to fraction form
    287,457.02/431,248.65 = 85,037.28/x
  3. Step 3: Cross multiply
    287,457.02x = 431,248.65 × 85,037.28
  4. Step 4: Simplify right side
    287,457.02x = 36,672,211,774.49
  5. Step 5: Solve for x
    x = 36,672,211,774.49/287,457.02
  6. Step 6: Final answer
    x = 127,574.59

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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.