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Finding the Fourth Proportional to 319,094.78, 478,699.10 and 105,875.49

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Solution

The fourth proportional to 319,094.78, 478,699.10 and 105,875.49 is: 158,832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,094.78 : 478,699.10 = 105,875.49 : x
  2. Step 2: Convert to fraction form
    319,094.78/478,699.10 = 105,875.49/x
  3. Step 3: Cross multiply
    319,094.78x = 478,699.10 × 105,875.49
  4. Step 4: Simplify right side
    319,094.78x = 50,682,498,852.19
  5. Step 5: Solve for x
    x = 50,682,498,852.19/319,094.78
  6. Step 6: Final answer
    x = 158,832.12

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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.