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Finding the Fourth Proportional to 319,521.20, 478,698.60 and 260,034.80

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Solution

The fourth proportional to 319,521.20, 478,698.60 and 260,034.80 is: 389,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,521.20 : 478,698.60 = 260,034.80 : x
  2. Step 2: Convert to fraction form
    319,521.20/478,698.60 = 260,034.80/x
  3. Step 3: Cross multiply
    319,521.20x = 478,698.60 × 260,034.80
  4. Step 4: Simplify right side
    319,521.20x = 124,478,294,711.28
  5. Step 5: Solve for x
    x = 124,478,294,711.28/319,521.20
  6. Step 6: Final answer
    x = 389,577.58

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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.