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Finding the Fourth Proportional to 319,680, 479,528.64 and 98,064

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Solution

The fourth proportional to 319,680, 479,528.64 and 98,064 is: 147,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,680 : 479,528.64 = 98,064 : x
  2. Step 2: Convert to fraction form
    319,680/479,528.64 = 98,064/x
  3. Step 3: Cross multiply
    319,680x = 479,528.64 × 98,064
  4. Step 4: Simplify right side
    319,680x = 47,024,496,552.96
  5. Step 5: Solve for x
    x = 47,024,496,552.96/319,680
  6. Step 6: Final answer
    x = 147,098.65

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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.