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Finding the Fourth Proportional to 319,095.78, 478,700.60 and 105,876.48

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Solution

The fourth proportional to 319,095.78, 478,700.60 and 105,876.48 is: 158,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,095.78 : 478,700.60 = 105,876.48 : x
  2. Step 2: Convert to fraction form
    319,095.78/478,700.60 = 105,876.48/x
  3. Step 3: Cross multiply
    319,095.78x = 478,700.60 × 105,876.48
  4. Step 4: Simplify right side
    319,095.78x = 50,683,134,501.89
  5. Step 5: Solve for x
    x = 50,683,134,501.89/319,095.78
  6. Step 6: Final answer
    x = 158,833.61

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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.