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Finding the Fourth Proportional to 385,876.59, 578,830.28 and 105,393.03

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Solution

The fourth proportional to 385,876.59, 578,830.28 and 105,393.03 is: 158,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,876.59 : 578,830.28 = 105,393.03 : x
  2. Step 2: Convert to fraction form
    385,876.59/578,830.28 = 105,393.03/x
  3. Step 3: Cross multiply
    385,876.59x = 578,830.28 × 105,393.03
  4. Step 4: Simplify right side
    385,876.59x = 61,004,676,537.98
  5. Step 5: Solve for x
    x = 61,004,676,537.98/385,876.59
  6. Step 6: Final answer
    x = 158,093.75

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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.