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Finding the Fourth Proportional to 278,374.68, 417,560.88 and 100,840.12

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Solution

The fourth proportional to 278,374.68, 417,560.88 and 100,840.12 is: 151,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,374.68 : 417,560.88 = 100,840.12 : x
  2. Step 2: Convert to fraction form
    278,374.68/417,560.88 = 100,840.12/x
  3. Step 3: Cross multiply
    278,374.68x = 417,560.88 × 100,840.12
  4. Step 4: Simplify right side
    278,374.68x = 42,106,889,246.51
  5. Step 5: Solve for x
    x = 42,106,889,246.51/278,374.68
  6. Step 6: Final answer
    x = 151,259.77

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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.