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Finding the Fourth Proportional to 280,591.83, 420,887.70 and 103,022.01

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Solution

The fourth proportional to 280,591.83, 420,887.70 and 103,022.01 is: 154,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,591.83 : 420,887.70 = 103,022.01 : x
  2. Step 2: Convert to fraction form
    280,591.83/420,887.70 = 103,022.01/x
  3. Step 3: Cross multiply
    280,591.83x = 420,887.70 × 103,022.01
  4. Step 4: Simplify right side
    280,591.83x = 43,360,696,838.28
  5. Step 5: Solve for x
    x = 43,360,696,838.28/280,591.83
  6. Step 6: Final answer
    x = 154,533.00

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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.