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Finding the Fourth Proportional to 315,246.40, 472,786.40 and 157,358.40

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Solution

The fourth proportional to 315,246.40, 472,786.40 and 157,358.40 is: 235,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,246.40 : 472,786.40 = 157,358.40 : x
  2. Step 2: Convert to fraction form
    315,246.40/472,786.40 = 157,358.40/x
  3. Step 3: Cross multiply
    315,246.40x = 472,786.40 × 157,358.40
  4. Step 4: Simplify right side
    315,246.40x = 74,396,911,445.76
  5. Step 5: Solve for x
    x = 74,396,911,445.76/315,246.40
  6. Step 6: Final answer
    x = 235,996.07

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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.