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Finding the Fourth Proportional to 385,065.26, 577,674.88 and 118,815.76

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Solution

The fourth proportional to 385,065.26, 577,674.88 and 118,815.76 is: 178,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,065.26 : 577,674.88 = 118,815.76 : x
  2. Step 2: Convert to fraction form
    385,065.26/577,674.88 = 118,815.76/x
  3. Step 3: Cross multiply
    385,065.26x = 577,674.88 × 118,815.76
  4. Step 4: Simplify right side
    385,065.26x = 68,636,880,993.50
  5. Step 5: Solve for x
    x = 68,636,880,993.50/385,065.26
  6. Step 6: Final answer
    x = 178,247.40

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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.