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Finding the Fourth Proportional to 402,923.44, 604,406.74 and 103,406.60

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Solution

The fourth proportional to 402,923.44, 604,406.74 and 103,406.60 is: 155,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,923.44 : 604,406.74 = 103,406.60 : x
  2. Step 2: Convert to fraction form
    402,923.44/604,406.74 = 103,406.60/x
  3. Step 3: Cross multiply
    402,923.44x = 604,406.74 × 103,406.60
  4. Step 4: Simplify right side
    402,923.44x = 62,499,646,000.48
  5. Step 5: Solve for x
    x = 62,499,646,000.48/402,923.44
  6. Step 6: Final answer
    x = 155,115.44

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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.