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Finding the Fourth Proportional to 420,565.60, 630,848.40 and 399,829.60

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Solution

The fourth proportional to 420,565.60, 630,848.40 and 399,829.60 is: 599,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,565.60 : 630,848.40 = 399,829.60 : x
  2. Step 2: Convert to fraction form
    420,565.60/630,848.40 = 399,829.60/x
  3. Step 3: Cross multiply
    420,565.60x = 630,848.40 × 399,829.60
  4. Step 4: Simplify right side
    420,565.60x = 252,231,863,432.64
  5. Step 5: Solve for x
    x = 252,231,863,432.64/420,565.60
  6. Step 6: Final answer
    x = 599,744.40

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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.