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Finding the Fourth Proportional to 315,864.72, 435,914.40 and 178,077.66

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Solution

The fourth proportional to 315,864.72, 435,914.40 and 178,077.66 is: 245,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,864.72 : 435,914.40 = 178,077.66 : x
  2. Step 2: Convert to fraction form
    315,864.72/435,914.40 = 178,077.66/x
  3. Step 3: Cross multiply
    315,864.72x = 435,914.40 × 178,077.66
  4. Step 4: Simplify right side
    315,864.72x = 77,626,616,312.30
  5. Step 5: Solve for x
    x = 77,626,616,312.30/315,864.72
  6. Step 6: Final answer
    x = 245,759.06

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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.