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Finding the Fourth Proportional to 354,128.56, 488,685 and 192,980.32

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Solution

The fourth proportional to 354,128.56, 488,685 and 192,980.32 is: 266,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,128.56 : 488,685 = 192,980.32 : x
  2. Step 2: Convert to fraction form
    354,128.56/488,685 = 192,980.32/x
  3. Step 3: Cross multiply
    354,128.56x = 488,685 × 192,980.32
  4. Step 4: Simplify right side
    354,128.56x = 94,306,587,679.20
  5. Step 5: Solve for x
    x = 94,306,587,679.20/354,128.56
  6. Step 6: Final answer
    x = 266,306.08

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1.5x scale

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.