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Finding the Fourth Proportional to 499,053.60, 748,612.80 and 262,857.60

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Solution

The fourth proportional to 499,053.60, 748,612.80 and 262,857.60 is: 394,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,053.60 : 748,612.80 = 262,857.60 : x
  2. Step 2: Convert to fraction form
    499,053.60/748,612.80 = 262,857.60/x
  3. Step 3: Cross multiply
    499,053.60x = 748,612.80 × 262,857.60
  4. Step 4: Simplify right side
    499,053.60x = 196,778,563,937.28
  5. Step 5: Solve for x
    x = 196,778,563,937.28/499,053.60
  6. Step 6: Final answer
    x = 394,303.47

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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.