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Finding the Fourth Proportional to 287,247.84, 431,068.56 and 100,259.28

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Solution

The fourth proportional to 287,247.84, 431,068.56 and 100,259.28 is: 150,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,247.84 : 431,068.56 = 100,259.28 : x
  2. Step 2: Convert to fraction form
    287,247.84/431,068.56 = 100,259.28/x
  3. Step 3: Cross multiply
    287,247.84x = 431,068.56 × 100,259.28
  4. Step 4: Simplify right side
    287,247.84x = 43,218,623,456.24
  5. Step 5: Solve for x
    x = 43,218,623,456.24/287,247.84
  6. Step 6: Final answer
    x = 150,457.61

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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.