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Finding the Fourth Proportional to 319,549.46, 478,999.98 and 207,301.28

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Solution

The fourth proportional to 319,549.46, 478,999.98 and 207,301.28 is: 310,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,549.46 : 478,999.98 = 207,301.28 : x
  2. Step 2: Convert to fraction form
    319,549.46/478,999.98 = 207,301.28/x
  3. Step 3: Cross multiply
    319,549.46x = 478,999.98 × 207,301.28
  4. Step 4: Simplify right side
    319,549.46x = 99,297,306,578.97
  5. Step 5: Solve for x
    x = 99,297,306,578.97/319,549.46
  6. Step 6: Final answer
    x = 310,741.59

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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.