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Finding the Fourth Proportional to 278,312.10, 417,468.15 and 100,824.90

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Solution

The fourth proportional to 278,312.10, 417,468.15 and 100,824.90 is: 151,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,312.10 : 417,468.15 = 100,824.90 : x
  2. Step 2: Convert to fraction form
    278,312.10/417,468.15 = 100,824.90/x
  3. Step 3: Cross multiply
    278,312.10x = 417,468.15 × 100,824.90
  4. Step 4: Simplify right side
    278,312.10x = 42,091,184,476.94
  5. Step 5: Solve for x
    x = 42,091,184,476.94/278,312.10
  6. Step 6: Final answer
    x = 151,237.35

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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.