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Finding the Fourth Proportional to 319,276.50, 478,914.93 and 97,660.50

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Solution

The fourth proportional to 319,276.50, 478,914.93 and 97,660.50 is: 146,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,276.50 : 478,914.93 = 97,660.50 : x
  2. Step 2: Convert to fraction form
    319,276.50/478,914.93 = 97,660.50/x
  3. Step 3: Cross multiply
    319,276.50x = 478,914.93 × 97,660.50
  4. Step 4: Simplify right side
    319,276.50x = 46,771,071,521.27
  5. Step 5: Solve for x
    x = 46,771,071,521.27/319,276.50
  6. Step 6: Final answer
    x = 146,490.81

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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.