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Finding the Fourth Proportional to 348,041.60, 522,062.40 and 278,057.60

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Solution

The fourth proportional to 348,041.60, 522,062.40 and 278,057.60 is: 417,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,041.60 : 522,062.40 = 278,057.60 : x
  2. Step 2: Convert to fraction form
    348,041.60/522,062.40 = 278,057.60/x
  3. Step 3: Cross multiply
    348,041.60x = 522,062.40 × 278,057.60
  4. Step 4: Simplify right side
    348,041.60x = 145,163,417,994.24
  5. Step 5: Solve for x
    x = 145,163,417,994.24/348,041.60
  6. Step 6: Final answer
    x = 417,086.40

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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.