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Finding the Fourth Proportional to 384,803.10, 577,204.65 and 278,514.90

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Solution

The fourth proportional to 384,803.10, 577,204.65 and 278,514.90 is: 417,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,803.10 : 577,204.65 = 278,514.90 : x
  2. Step 2: Convert to fraction form
    384,803.10/577,204.65 = 278,514.90/x
  3. Step 3: Cross multiply
    384,803.10x = 577,204.65 × 278,514.90
  4. Step 4: Simplify right side
    384,803.10x = 160,760,095,374.29
  5. Step 5: Solve for x
    x = 160,760,095,374.29/384,803.10
  6. Step 6: Final answer
    x = 417,772.35

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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.