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Finding the Fourth Proportional to 570,258.85, 854,443.69 and 400,952

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Solution

The fourth proportional to 570,258.85, 854,443.69 and 400,952 is: 600,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,258.85 : 854,443.69 = 400,952 : x
  2. Step 2: Convert to fraction form
    570,258.85/854,443.69 = 400,952/x
  3. Step 3: Cross multiply
    570,258.85x = 854,443.69 × 400,952
  4. Step 4: Simplify right side
    570,258.85x = 342,590,906,392.88
  5. Step 5: Solve for x
    x = 342,590,906,392.88/570,258.85
  6. Step 6: Final answer
    x = 600,763.86

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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.