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Finding the Fourth Proportional to 384,654.42, 530,824.72 and 210,228.13

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Solution

The fourth proportional to 384,654.42, 530,824.72 and 210,228.13 is: 290,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,654.42 : 530,824.72 = 210,228.13 : x
  2. Step 2: Convert to fraction form
    384,654.42/530,824.72 = 210,228.13/x
  3. Step 3: Cross multiply
    384,654.42x = 530,824.72 × 210,228.13
  4. Step 4: Simplify right side
    384,654.42x = 111,594,289,677.19
  5. Step 5: Solve for x
    x = 111,594,289,677.19/384,654.42
  6. Step 6: Final answer
    x = 290,115.71

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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.