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Finding the Fourth Proportional to 384,291, 530,281.28 and 223,114.56

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Solution

The fourth proportional to 384,291, 530,281.28 and 223,114.56 is: 307,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,291 : 530,281.28 = 223,114.56 : x
  2. Step 2: Convert to fraction form
    384,291/530,281.28 = 223,114.56/x
  3. Step 3: Cross multiply
    384,291x = 530,281.28 × 223,114.56
  4. Step 4: Simplify right side
    384,291x = 118,313,473,347.86
  5. Step 5: Solve for x
    x = 118,313,473,347.86/384,291
  6. Step 6: Final answer
    x = 307,874.69

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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.