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Finding the Fourth Proportional to 319,276, 478,914.18 and 97,660

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Solution

The fourth proportional to 319,276, 478,914.18 and 97,660 is: 146,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,276 : 478,914.18 = 97,660 : x
  2. Step 2: Convert to fraction form
    319,276/478,914.18 = 97,660/x
  3. Step 3: Cross multiply
    319,276x = 478,914.18 × 97,660
  4. Step 4: Simplify right side
    319,276x = 46,770,758,818.80
  5. Step 5: Solve for x
    x = 46,770,758,818.80/319,276
  6. Step 6: Final answer
    x = 146,490.06

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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.