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Finding the Fourth Proportional to 304,947.50, 420,827.58 and 185,715.50

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Solution

The fourth proportional to 304,947.50, 420,827.58 and 185,715.50 is: 256,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,947.50 : 420,827.58 = 185,715.50 : x
  2. Step 2: Convert to fraction form
    304,947.50/420,827.58 = 185,715.50/x
  3. Step 3: Cross multiply
    304,947.50x = 420,827.58 × 185,715.50
  4. Step 4: Simplify right side
    304,947.50x = 78,154,204,433.49
  5. Step 5: Solve for x
    x = 78,154,204,433.49/304,947.50
  6. Step 6: Final answer
    x = 256,287.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.