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Finding the Fourth Proportional to 319,099.70, 478,212.15 and 260,050.70

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Solution

The fourth proportional to 319,099.70, 478,212.15 and 260,050.70 is: 389,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,099.70 : 478,212.15 = 260,050.70 : x
  2. Step 2: Convert to fraction form
    319,099.70/478,212.15 = 260,050.70/x
  3. Step 3: Cross multiply
    319,099.70x = 478,212.15 × 260,050.70
  4. Step 4: Simplify right side
    319,099.70x = 124,359,404,356.01
  5. Step 5: Solve for x
    x = 124,359,404,356.01/319,099.70
  6. Step 6: Final answer
    x = 389,719.59

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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.