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Finding the Fourth Proportional to 385,668.94, 578,281.90 and 205,532.59

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Solution

The fourth proportional to 385,668.94, 578,281.90 and 205,532.59 is: 308,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,668.94 : 578,281.90 = 205,532.59 : x
  2. Step 2: Convert to fraction form
    385,668.94/578,281.90 = 205,532.59/x
  3. Step 3: Cross multiply
    385,668.94x = 578,281.90 × 205,532.59
  4. Step 4: Simplify right side
    385,668.94x = 118,855,776,657.12
  5. Step 5: Solve for x
    x = 118,855,776,657.12/385,668.94
  6. Step 6: Final answer
    x = 308,180.84

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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.