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Finding the Fourth Proportional to 319,552, 440,981.76 and 178,240

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Solution

The fourth proportional to 319,552, 440,981.76 and 178,240 is: 245,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,552 : 440,981.76 = 178,240 : x
  2. Step 2: Convert to fraction form
    319,552/440,981.76 = 178,240/x
  3. Step 3: Cross multiply
    319,552x = 440,981.76 × 178,240
  4. Step 4: Simplify right side
    319,552x = 78,600,588,902.40
  5. Step 5: Solve for x
    x = 78,600,588,902.40/319,552
  6. Step 6: Final answer
    x = 245,971.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.