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Finding the Fourth Proportional to 319,076.20, 478,176.90 and 260,027.20

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Solution

The fourth proportional to 319,076.20, 478,176.90 and 260,027.20 is: 389,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,076.20 : 478,176.90 = 260,027.20 : x
  2. Step 2: Convert to fraction form
    319,076.20/478,176.90 = 260,027.20/x
  3. Step 3: Cross multiply
    319,076.20x = 478,176.90 × 260,027.20
  4. Step 4: Simplify right side
    319,076.20x = 124,339,000,411.68
  5. Step 5: Solve for x
    x = 124,339,000,411.68/319,076.20
  6. Step 6: Final answer
    x = 389,684.35

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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.