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Finding the Fourth Proportional to 319,225.68, 478,734.32 and 105,936.30

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Solution

The fourth proportional to 319,225.68, 478,734.32 and 105,936.30 is: 158,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,225.68 : 478,734.32 = 105,936.30 : x
  2. Step 2: Convert to fraction form
    319,225.68/478,734.32 = 105,936.30/x
  3. Step 3: Cross multiply
    319,225.68x = 478,734.32 × 105,936.30
  4. Step 4: Simplify right side
    319,225.68x = 50,715,342,543.82
  5. Step 5: Solve for x
    x = 50,715,342,543.82/319,225.68
  6. Step 6: Final answer
    x = 158,869.87

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1.5x scale

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.