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Finding the Fourth Proportional to 508,204.64, 701,306.16 and 278,758.64

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Solution

The fourth proportional to 508,204.64, 701,306.16 and 278,758.64 is: 384,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,204.64 : 701,306.16 = 278,758.64 : x
  2. Step 2: Convert to fraction form
    508,204.64/701,306.16 = 278,758.64/x
  3. Step 3: Cross multiply
    508,204.64x = 701,306.16 × 278,758.64
  4. Step 4: Simplify right side
    508,204.64x = 195,495,151,385.22
  5. Step 5: Solve for x
    x = 195,495,151,385.22/508,204.64
  6. Step 6: Final answer
    x = 384,678.01

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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.