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Finding the Fourth Proportional to 319,083.20, 478,187.40 and 260,034.20

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Solution

The fourth proportional to 319,083.20, 478,187.40 and 260,034.20 is: 389,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,083.20 : 478,187.40 = 260,034.20 : x
  2. Step 2: Convert to fraction form
    319,083.20/478,187.40 = 260,034.20/x
  3. Step 3: Cross multiply
    319,083.20x = 478,187.40 × 260,034.20
  4. Step 4: Simplify right side
    319,083.20x = 124,345,078,009.08
  5. Step 5: Solve for x
    x = 124,345,078,009.08/319,083.20
  6. Step 6: Final answer
    x = 389,694.84

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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.