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Finding the Fourth Proportional to 385,801.20, 578,701.80 and 105,318.45

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Solution

The fourth proportional to 385,801.20, 578,701.80 and 105,318.45 is: 157,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,801.20 : 578,701.80 = 105,318.45 : x
  2. Step 2: Convert to fraction form
    385,801.20/578,701.80 = 105,318.45/x
  3. Step 3: Cross multiply
    385,801.20x = 578,701.80 × 105,318.45
  4. Step 4: Simplify right side
    385,801.20x = 60,947,976,588.21
  5. Step 5: Solve for x
    x = 60,947,976,588.21/385,801.20
  6. Step 6: Final answer
    x = 157,977.68

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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.