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Finding the Fourth Proportional to 384,148, 530,129.04 and 223,009.84

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Solution

The fourth proportional to 384,148, 530,129.04 and 223,009.84 is: 307,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,148 : 530,129.04 = 223,009.84 : x
  2. Step 2: Convert to fraction form
    384,148/530,129.04 = 223,009.84/x
  3. Step 3: Cross multiply
    384,148x = 530,129.04 × 223,009.84
  4. Step 4: Simplify right side
    384,148x = 118,223,992,389.75
  5. Step 5: Solve for x
    x = 118,223,992,389.75/384,148
  6. Step 6: Final answer
    x = 307,756.37

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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.