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Finding the Fourth Proportional to 256,631.99, 384,941.51 and 69,638.63

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Solution

The fourth proportional to 256,631.99, 384,941.51 and 69,638.63 is: 104,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,631.99 : 384,941.51 = 69,638.63 : x
  2. Step 2: Convert to fraction form
    256,631.99/384,941.51 = 69,638.63/x
  3. Step 3: Cross multiply
    256,631.99x = 384,941.51 × 69,638.63
  4. Step 4: Simplify right side
    256,631.99x = 26,806,799,038.34
  5. Step 5: Solve for x
    x = 26,806,799,038.34/256,631.99
  6. Step 6: Final answer
    x = 104,456.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.