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Finding the Fourth Proportional to 343,115.10, 514,706.85 and 143,497.98

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Solution

The fourth proportional to 343,115.10, 514,706.85 and 143,497.98 is: 215,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,115.10 : 514,706.85 = 143,497.98 : x
  2. Step 2: Convert to fraction form
    343,115.10/514,706.85 = 143,497.98/x
  3. Step 3: Cross multiply
    343,115.10x = 514,706.85 × 143,497.98
  4. Step 4: Simplify right side
    343,115.10x = 73,859,393,267.16
  5. Step 5: Solve for x
    x = 73,859,393,267.16/343,115.10
  6. Step 6: Final answer
    x = 215,261.27

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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.