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Finding the Fourth Proportional to 347,290.98, 480,138.46 and 256,503.14

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Solution

The fourth proportional to 347,290.98, 480,138.46 and 256,503.14 is: 354,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,290.98 : 480,138.46 = 256,503.14 : x
  2. Step 2: Convert to fraction form
    347,290.98/480,138.46 = 256,503.14/x
  3. Step 3: Cross multiply
    347,290.98x = 480,138.46 × 256,503.14
  4. Step 4: Simplify right side
    347,290.98x = 123,157,022,624.76
  5. Step 5: Solve for x
    x = 123,157,022,624.76/347,290.98
  6. Step 6: Final answer
    x = 354,622.00

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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.