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Finding the Fourth Proportional to 310,014.90, 465,022.35 and 278,522.10

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Solution

The fourth proportional to 310,014.90, 465,022.35 and 278,522.10 is: 417,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,014.90 : 465,022.35 = 278,522.10 : x
  2. Step 2: Convert to fraction form
    310,014.90/465,022.35 = 278,522.10/x
  3. Step 3: Cross multiply
    310,014.90x = 465,022.35 × 278,522.10
  4. Step 4: Simplify right side
    310,014.90x = 129,519,001,468.94
  5. Step 5: Solve for x
    x = 129,519,001,468.94/310,014.90
  6. Step 6: Final answer
    x = 417,783.15

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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.