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Finding the Fourth Proportional to 423,137.64, 634,708.62 and 142,657.32

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Solution

The fourth proportional to 423,137.64, 634,708.62 and 142,657.32 is: 213,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,137.64 : 634,708.62 = 142,657.32 : x
  2. Step 2: Convert to fraction form
    423,137.64/634,708.62 = 142,657.32/x
  3. Step 3: Cross multiply
    423,137.64x = 634,708.62 × 142,657.32
  4. Step 4: Simplify right side
    423,137.64x = 90,545,830,710.10
  5. Step 5: Solve for x
    x = 90,545,830,710.10/423,137.64
  6. Step 6: Final answer
    x = 213,986.71

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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.