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Finding the Fourth Proportional to 423,077.60, 634,616.40 and 142,565.60

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Solution

The fourth proportional to 423,077.60, 634,616.40 and 142,565.60 is: 213,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,077.60 : 634,616.40 = 142,565.60 : x
  2. Step 2: Convert to fraction form
    423,077.60/634,616.40 = 142,565.60/x
  3. Step 3: Cross multiply
    423,077.60x = 634,616.40 × 142,565.60
  4. Step 4: Simplify right side
    423,077.60x = 90,474,467,835.84
  5. Step 5: Solve for x
    x = 90,474,467,835.84/423,077.60
  6. Step 6: Final answer
    x = 213,848.40

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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.