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Finding the Fourth Proportional to 315,222.18, 435,005.16 and 171,981.78

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Solution

The fourth proportional to 315,222.18, 435,005.16 and 171,981.78 is: 237,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,222.18 : 435,005.16 = 171,981.78 : x
  2. Step 2: Convert to fraction form
    315,222.18/435,005.16 = 171,981.78/x
  3. Step 3: Cross multiply
    315,222.18x = 435,005.16 × 171,981.78
  4. Step 4: Simplify right side
    315,222.18x = 74,812,961,725.98
  5. Step 5: Solve for x
    x = 74,812,961,725.98/315,222.18
  6. Step 6: Final answer
    x = 237,334.07

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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.