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Finding the Fourth Proportional to 385,498.80, 577,951.74 and 195,803.28

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Solution

The fourth proportional to 385,498.80, 577,951.74 and 195,803.28 is: 293,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,498.80 : 577,951.74 = 195,803.28 : x
  2. Step 2: Convert to fraction form
    385,498.80/577,951.74 = 195,803.28/x
  3. Step 3: Cross multiply
    385,498.80x = 577,951.74 × 195,803.28
  4. Step 4: Simplify right side
    385,498.80x = 113,164,846,373.71
  5. Step 5: Solve for x
    x = 113,164,846,373.71/385,498.80
  6. Step 6: Final answer
    x = 293,554.34

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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.