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Finding the Fourth Proportional to 423,008.10, 634,512.15 and 142,496.10

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Solution

The fourth proportional to 423,008.10, 634,512.15 and 142,496.10 is: 213,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,008.10 : 634,512.15 = 142,496.10 : x
  2. Step 2: Convert to fraction form
    423,008.10/634,512.15 = 142,496.10/x
  3. Step 3: Cross multiply
    423,008.10x = 634,512.15 × 142,496.10
  4. Step 4: Simplify right side
    423,008.10x = 90,415,506,777.62
  5. Step 5: Solve for x
    x = 90,415,506,777.62/423,008.10
  6. Step 6: Final answer
    x = 213,744.15

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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.