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Finding the Fourth Proportional to 310,014.40, 465,021.60 and 278,521.60

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Solution

The fourth proportional to 310,014.40, 465,021.60 and 278,521.60 is: 417,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,014.40 : 465,021.60 = 278,521.60 : x
  2. Step 2: Convert to fraction form
    310,014.40/465,021.60 = 278,521.60/x
  3. Step 3: Cross multiply
    310,014.40x = 465,021.60 × 278,521.60
  4. Step 4: Simplify right side
    310,014.40x = 129,518,560,066.56
  5. Step 5: Solve for x
    x = 129,518,560,066.56/310,014.40
  6. Step 6: Final answer
    x = 417,782.40

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1.5x scale

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.