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Finding the Fourth Proportional to 228,706.64, 315,769.16 and 142,796.40

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Solution

The fourth proportional to 228,706.64, 315,769.16 and 142,796.40 is: 197,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,706.64 : 315,769.16 = 142,796.40 : x
  2. Step 2: Convert to fraction form
    228,706.64/315,769.16 = 142,796.40/x
  3. Step 3: Cross multiply
    228,706.64x = 315,769.16 × 142,796.40
  4. Step 4: Simplify right side
    228,706.64x = 45,090,699,279.02
  5. Step 5: Solve for x
    x = 45,090,699,279.02/228,706.64
  6. Step 6: Final answer
    x = 197,155.18

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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.