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Finding the Fourth Proportional to 386,407.50, 533,141.43 and 223,024.02

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Solution

The fourth proportional to 386,407.50, 533,141.43 and 223,024.02 is: 307,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,407.50 : 533,141.43 = 223,024.02 : x
  2. Step 2: Convert to fraction form
    386,407.50/533,141.43 = 223,024.02/x
  3. Step 3: Cross multiply
    386,407.50x = 533,141.43 × 223,024.02
  4. Step 4: Simplify right side
    386,407.50x = 118,903,344,947.15
  5. Step 5: Solve for x
    x = 118,903,344,947.15/386,407.50
  6. Step 6: Final answer
    x = 307,714.90

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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.