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Finding the Fourth Proportional to 472,105.36, 708,367.40 and 247,412.40

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Solution

The fourth proportional to 472,105.36, 708,367.40 and 247,412.40 is: 371,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,105.36 : 708,367.40 = 247,412.40 : x
  2. Step 2: Convert to fraction form
    472,105.36/708,367.40 = 247,412.40/x
  3. Step 3: Cross multiply
    472,105.36x = 708,367.40 × 247,412.40
  4. Step 4: Simplify right side
    472,105.36x = 175,258,878,515.76
  5. Step 5: Solve for x
    x = 175,258,878,515.76/472,105.36
  6. Step 6: Final answer
    x = 371,228.32

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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.