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Finding the Fourth Proportional to 388,499.96, 536,109.14 and 214,064.75

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Solution

The fourth proportional to 388,499.96, 536,109.14 and 214,064.75 is: 295,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,499.96 : 536,109.14 = 214,064.75 : x
  2. Step 2: Convert to fraction form
    388,499.96/536,109.14 = 214,064.75/x
  3. Step 3: Cross multiply
    388,499.96x = 536,109.14 × 214,064.75
  4. Step 4: Simplify right side
    388,499.96x = 114,762,065,275.95
  5. Step 5: Solve for x
    x = 114,762,065,275.95/388,499.96
  6. Step 6: Final answer
    x = 295,397.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.