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Finding the Fourth Proportional to 385,749.94, 578,652.63 and 133,026.80

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Solution

The fourth proportional to 385,749.94, 578,652.63 and 133,026.80 is: 199,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,749.94 : 578,652.63 = 133,026.80 : x
  2. Step 2: Convert to fraction form
    385,749.94/578,652.63 = 133,026.80/x
  3. Step 3: Cross multiply
    385,749.94x = 578,652.63 × 133,026.80
  4. Step 4: Simplify right side
    385,749.94x = 76,976,307,680.48
  5. Step 5: Solve for x
    x = 76,976,307,680.48/385,749.94
  6. Step 6: Final answer
    x = 199,549.76

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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.