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Finding the Fourth Proportional to 514,433.84, 709,948.20 and 288,077.36

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Solution

The fourth proportional to 514,433.84, 709,948.20 and 288,077.36 is: 397,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,433.84 : 709,948.20 = 288,077.36 : x
  2. Step 2: Convert to fraction form
    514,433.84/709,948.20 = 288,077.36/x
  3. Step 3: Cross multiply
    514,433.84x = 709,948.20 × 288,077.36
  4. Step 4: Simplify right side
    514,433.84x = 204,520,003,192.75
  5. Step 5: Solve for x
    x = 204,520,003,192.75/514,433.84
  6. Step 6: Final answer
    x = 397,563.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.