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Finding the Fourth Proportional to 385,666.68, 578,278.54 and 205,530.32

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Solution

The fourth proportional to 385,666.68, 578,278.54 and 205,530.32 is: 308,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,666.68 : 578,278.54 = 205,530.32 : x
  2. Step 2: Convert to fraction form
    385,666.68/578,278.54 = 205,530.32/x
  3. Step 3: Cross multiply
    385,666.68x = 578,278.54 × 205,530.32
  4. Step 4: Simplify right side
    385,666.68x = 118,853,773,375.33
  5. Step 5: Solve for x
    x = 118,853,773,375.33/385,666.68
  6. Step 6: Final answer
    x = 308,177.45

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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.