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Finding the Fourth Proportional to 384,149, 530,130.42 and 223,010.84

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Solution

The fourth proportional to 384,149, 530,130.42 and 223,010.84 is: 307,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,149 : 530,130.42 = 223,010.84 : x
  2. Step 2: Convert to fraction form
    384,149/530,130.42 = 223,010.84/x
  3. Step 3: Cross multiply
    384,149x = 530,130.42 × 223,010.84
  4. Step 4: Simplify right side
    384,149x = 118,224,830,273.75
  5. Step 5: Solve for x
    x = 118,224,830,273.75/384,149
  6. Step 6: Final answer
    x = 307,757.75

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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.