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Finding the Fourth Proportional to 423,142.64, 634,716.12 and 142,662.32

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Solution

The fourth proportional to 423,142.64, 634,716.12 and 142,662.32 is: 213,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,142.64 : 634,716.12 = 142,662.32 : x
  2. Step 2: Convert to fraction form
    423,142.64/634,716.12 = 142,662.32/x
  3. Step 3: Cross multiply
    423,142.64x = 634,716.12 × 142,662.32
  4. Step 4: Simplify right side
    423,142.64x = 90,550,074,220.60
  5. Step 5: Solve for x
    x = 90,550,074,220.60/423,142.64
  6. Step 6: Final answer
    x = 213,994.21

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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.