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Finding the Fourth Proportional to 386,970.30, 580,455.45 and 260,999.10

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Solution

The fourth proportional to 386,970.30, 580,455.45 and 260,999.10 is: 391,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,970.30 : 580,455.45 = 260,999.10 : x
  2. Step 2: Convert to fraction form
    386,970.30/580,455.45 = 260,999.10/x
  3. Step 3: Cross multiply
    386,970.30x = 580,455.45 × 260,999.10
  4. Step 4: Simplify right side
    386,970.30x = 151,498,350,040.10
  5. Step 5: Solve for x
    x = 151,498,350,040.10/386,970.30
  6. Step 6: Final answer
    x = 391,498.65

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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.