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Finding the Fourth Proportional to 422,746.80, 634,206.60 and 142,292.40

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Solution

The fourth proportional to 422,746.80, 634,206.60 and 142,292.40 is: 213,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,746.80 : 634,206.60 = 142,292.40 : x
  2. Step 2: Convert to fraction form
    422,746.80/634,206.60 = 142,292.40/x
  3. Step 3: Cross multiply
    422,746.80x = 634,206.60 × 142,292.40
  4. Step 4: Simplify right side
    422,746.80x = 90,242,779,209.84
  5. Step 5: Solve for x
    x = 90,242,779,209.84/422,746.80
  6. Step 6: Final answer
    x = 213,467.68

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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.