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Finding the Fourth Proportional to 422,598.42, 633,897.63 and 256,036.50

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Solution

The fourth proportional to 422,598.42, 633,897.63 and 256,036.50 is: 384,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,598.42 : 633,897.63 = 256,036.50 : x
  2. Step 2: Convert to fraction form
    422,598.42/633,897.63 = 256,036.50/x
  3. Step 3: Cross multiply
    422,598.42x = 633,897.63 × 256,036.50
  4. Step 4: Simplify right side
    422,598.42x = 162,300,930,543.50
  5. Step 5: Solve for x
    x = 162,300,930,543.50/422,598.42
  6. Step 6: Final answer
    x = 384,054.75

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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.