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Finding the Fourth Proportional to 287,457.01, 431,248.62 and 85,037.27

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Solution

The fourth proportional to 287,457.01, 431,248.62 and 85,037.27 is: 127,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,457.01 : 431,248.62 = 85,037.27 : x
  2. Step 2: Convert to fraction form
    287,457.01/431,248.62 = 85,037.27/x
  3. Step 3: Cross multiply
    287,457.01x = 431,248.62 × 85,037.27
  4. Step 4: Simplify right side
    287,457.01x = 36,672,205,336.07
  5. Step 5: Solve for x
    x = 36,672,205,336.07/287,457.01
  6. Step 6: Final answer
    x = 127,574.57

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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.