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Finding the Fourth Proportional to 472,392,693.60, 708,589,040.40 and 265,768,432.80

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Solution

The fourth proportional to 472,392,693.60, 708,589,040.40 and 265,768,432.80 is: 398,652,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,693.60 : 708,589,040.40 = 265,768,432.80 : x
  2. Step 2: Convert to fraction form
    472,392,693.60/708,589,040.40 = 265,768,432.80/x
  3. Step 3: Cross multiply
    472,392,693.60x = 708,589,040.40 × 265,768,432.80
  4. Step 4: Simplify right side
    472,392,693.60x = 188,320,598,766,363,872
  5. Step 5: Solve for x
    x = 188,320,598,766,363,872/472,392,693.60
  6. Step 6: Final answer
    x = 398,652,649.20

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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.