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Finding the Fourth Proportional to 385,385.40, 577,818.90 and 205,500.60

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Solution

The fourth proportional to 385,385.40, 577,818.90 and 205,500.60 is: 308,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,385.40 : 577,818.90 = 205,500.60 : x
  2. Step 2: Convert to fraction form
    385,385.40/577,818.90 = 205,500.60/x
  3. Step 3: Cross multiply
    385,385.40x = 577,818.90 × 205,500.60
  4. Step 4: Simplify right side
    385,385.40x = 118,742,130,641.34
  5. Step 5: Solve for x
    x = 118,742,130,641.34/385,385.40
  6. Step 6: Final answer
    x = 308,112.69

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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.