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Finding the Fourth Proportional to 305,895.78, 458,909.27 and 128,300.43

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Solution

The fourth proportional to 305,895.78, 458,909.27 and 128,300.43 is: 192,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,895.78 : 458,909.27 = 128,300.43 : x
  2. Step 2: Convert to fraction form
    305,895.78/458,909.27 = 128,300.43/x
  3. Step 3: Cross multiply
    305,895.78x = 458,909.27 × 128,300.43
  4. Step 4: Simplify right side
    305,895.78x = 58,878,256,030.48
  5. Step 5: Solve for x
    x = 58,878,256,030.48/305,895.78
  6. Step 6: Final answer
    x = 192,478.16

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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.