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Finding the Fourth Proportional to 315,267.40, 472,901.10 and 197,302.60

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Solution

The fourth proportional to 315,267.40, 472,901.10 and 197,302.60 is: 295,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,267.40 : 472,901.10 = 197,302.60 : x
  2. Step 2: Convert to fraction form
    315,267.40/472,901.10 = 197,302.60/x
  3. Step 3: Cross multiply
    315,267.40x = 472,901.10 × 197,302.60
  4. Step 4: Simplify right side
    315,267.40x = 93,304,616,572.86
  5. Step 5: Solve for x
    x = 93,304,616,572.86/315,267.40
  6. Step 6: Final answer
    x = 295,953.90

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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.