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Finding the Fourth Proportional to 278,004.80, 417,007.20 and 265,870.40

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Solution

The fourth proportional to 278,004.80, 417,007.20 and 265,870.40 is: 398,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,004.80 : 417,007.20 = 265,870.40 : x
  2. Step 2: Convert to fraction form
    278,004.80/417,007.20 = 265,870.40/x
  3. Step 3: Cross multiply
    278,004.80x = 417,007.20 × 265,870.40
  4. Step 4: Simplify right side
    278,004.80x = 110,869,871,066.88
  5. Step 5: Solve for x
    x = 110,869,871,066.88/278,004.80
  6. Step 6: Final answer
    x = 398,805.60

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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.