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Finding the Fourth Proportional to 384,133.16, 530,100.74 and 223,003.19

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Solution

The fourth proportional to 384,133.16, 530,100.74 and 223,003.19 is: 307,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,133.16 : 530,100.74 = 223,003.19 : x
  2. Step 2: Convert to fraction form
    384,133.16/530,100.74 = 223,003.19/x
  3. Step 3: Cross multiply
    384,133.16x = 530,100.74 × 223,003.19
  4. Step 4: Simplify right side
    384,133.16x = 118,214,154,926.35
  5. Step 5: Solve for x
    x = 118,214,154,926.35/384,133.16
  6. Step 6: Final answer
    x = 307,742.65

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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.