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Finding the Fourth Proportional to 402,089.38, 554,889.69 and 218,327.84

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Solution

The fourth proportional to 402,089.38, 554,889.69 and 218,327.84 is: 301,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,089.38 : 554,889.69 = 218,327.84 : x
  2. Step 2: Convert to fraction form
    402,089.38/554,889.69 = 218,327.84/x
  3. Step 3: Cross multiply
    402,089.38x = 554,889.69 × 218,327.84
  4. Step 4: Simplify right side
    402,089.38x = 121,147,864,681.52
  5. Step 5: Solve for x
    x = 121,147,864,681.52/402,089.38
  6. Step 6: Final answer
    x = 301,295.86

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1.5x scale

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.