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Finding the Fourth Proportional to 420,606.14, 580,420.08 and 229,621.10

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Solution

The fourth proportional to 420,606.14, 580,420.08 and 229,621.10 is: 316,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,606.14 : 580,420.08 = 229,621.10 : x
  2. Step 2: Convert to fraction form
    420,606.14/580,420.08 = 229,621.10/x
  3. Step 3: Cross multiply
    420,606.14x = 580,420.08 × 229,621.10
  4. Step 4: Simplify right side
    420,606.14x = 133,276,694,329.59
  5. Step 5: Solve for x
    x = 133,276,694,329.59/420,606.14
  6. Step 6: Final answer
    x = 316,868.17

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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.