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Finding the Fourth Proportional to 284,742.70, 426,530.85 and 144,580.30

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Solution

The fourth proportional to 284,742.70, 426,530.85 and 144,580.30 is: 216,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,742.70 : 426,530.85 = 144,580.30 : x
  2. Step 2: Convert to fraction form
    284,742.70/426,530.85 = 144,580.30/x
  3. Step 3: Cross multiply
    284,742.70x = 426,530.85 × 144,580.30
  4. Step 4: Simplify right side
    284,742.70x = 61,667,958,252.26
  5. Step 5: Solve for x
    x = 61,667,958,252.26/284,742.70
  6. Step 6: Final answer
    x = 216,574.33

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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.