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Finding the Fourth Proportional to 423,143.64, 634,717.62 and 142,663.32

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Solution

The fourth proportional to 423,143.64, 634,717.62 and 142,663.32 is: 213,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,143.64 : 634,717.62 = 142,663.32 : x
  2. Step 2: Convert to fraction form
    423,143.64/634,717.62 = 142,663.32/x
  3. Step 3: Cross multiply
    423,143.64x = 634,717.62 × 142,663.32
  4. Step 4: Simplify right side
    423,143.64x = 90,550,922,931.70
  5. Step 5: Solve for x
    x = 90,550,922,931.70/423,143.64
  6. Step 6: Final answer
    x = 213,995.71

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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.