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Finding the Fourth Proportional to 487,648.80, 730,047.60 and 347,680.80

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Solution

The fourth proportional to 487,648.80, 730,047.60 and 347,680.80 is: 520,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,648.80 : 730,047.60 = 347,680.80 : x
  2. Step 2: Convert to fraction form
    487,648.80/730,047.60 = 347,680.80/x
  3. Step 3: Cross multiply
    487,648.80x = 730,047.60 × 347,680.80
  4. Step 4: Simplify right side
    487,648.80x = 253,823,533,606.08
  5. Step 5: Solve for x
    x = 253,823,533,606.08/487,648.80
  6. Step 6: Final answer
    x = 520,504.78

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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.