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Finding the Fourth Proportional to 389,402, 537,433.12 and 238,586.48

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Solution

The fourth proportional to 389,402, 537,433.12 and 238,586.48 is: 329,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,402 : 537,433.12 = 238,586.48 : x
  2. Step 2: Convert to fraction form
    389,402/537,433.12 = 238,586.48/x
  3. Step 3: Cross multiply
    389,402x = 537,433.12 × 238,586.48
  4. Step 4: Simplify right side
    389,402x = 128,224,276,336.22
  5. Step 5: Solve for x
    x = 128,224,276,336.22/389,402
  6. Step 6: Final answer
    x = 329,285.10

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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.