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Finding the Fourth Proportional to 343,302.78, 514,868 and 163,277.12

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Solution

The fourth proportional to 343,302.78, 514,868 and 163,277.12 is: 244,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,302.78 : 514,868 = 163,277.12 : x
  2. Step 2: Convert to fraction form
    343,302.78/514,868 = 163,277.12/x
  3. Step 3: Cross multiply
    343,302.78x = 514,868 × 163,277.12
  4. Step 4: Simplify right side
    343,302.78x = 84,066,164,220.16
  5. Step 5: Solve for x
    x = 84,066,164,220.16/343,302.78
  6. Step 6: Final answer
    x = 244,874.70

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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.