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Finding the Fourth Proportional to 287,242.84, 431,061.12 and 100,254.34

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Solution

The fourth proportional to 287,242.84, 431,061.12 and 100,254.34 is: 150,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,242.84 : 431,061.12 = 100,254.34 : x
  2. Step 2: Convert to fraction form
    287,242.84/431,061.12 = 100,254.34/x
  3. Step 3: Cross multiply
    287,242.84x = 431,061.12 × 100,254.34
  4. Step 4: Simplify right side
    287,242.84x = 43,215,748,085.26
  5. Step 5: Solve for x
    x = 43,215,748,085.26/287,242.84
  6. Step 6: Final answer
    x = 150,450.22

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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.