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Finding the Fourth Proportional to 278,483.05, 417,724.17 and 100,989.64

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Solution

The fourth proportional to 278,483.05, 417,724.17 and 100,989.64 is: 151,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,483.05 : 417,724.17 = 100,989.64 : x
  2. Step 2: Convert to fraction form
    278,483.05/417,724.17 = 100,989.64/x
  3. Step 3: Cross multiply
    278,483.05x = 417,724.17 × 100,989.64
  4. Step 4: Simplify right side
    278,483.05x = 42,185,813,547.60
  5. Step 5: Solve for x
    x = 42,185,813,547.60/278,483.05
  6. Step 6: Final answer
    x = 151,484.31

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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.