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Finding the Fourth Proportional to 576,018.32, 864,775.94 and 442,992.83

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Solution

The fourth proportional to 576,018.32, 864,775.94 and 442,992.83 is: 665,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,018.32 : 864,775.94 = 442,992.83 : x
  2. Step 2: Convert to fraction form
    576,018.32/864,775.94 = 442,992.83/x
  3. Step 3: Cross multiply
    576,018.32x = 864,775.94 × 442,992.83
  4. Step 4: Simplify right side
    576,018.32x = 383,089,534,437.67
  5. Step 5: Solve for x
    x = 383,089,534,437.67/576,018.32
  6. Step 6: Final answer
    x = 665,064.85

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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.