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Finding the Fourth Proportional to 284,464.32, 426,964.32 and 144,323.52

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Solution

The fourth proportional to 284,464.32, 426,964.32 and 144,323.52 is: 216,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,464.32 : 426,964.32 = 144,323.52 : x
  2. Step 2: Convert to fraction form
    284,464.32/426,964.32 = 144,323.52/x
  3. Step 3: Cross multiply
    284,464.32x = 426,964.32 × 144,323.52
  4. Step 4: Simplify right side
    284,464.32x = 61,620,993,576.81
  5. Step 5: Solve for x
    x = 61,620,993,576.81/284,464.32
  6. Step 6: Final answer
    x = 216,621.17

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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.