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Finding the Fourth Proportional to 576,578, 864,646.68 and 276,973.20

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Solution

The fourth proportional to 576,578, 864,646.68 and 276,973.20 is: 415,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,578 : 864,646.68 = 276,973.20 : x
  2. Step 2: Convert to fraction form
    576,578/864,646.68 = 276,973.20/x
  3. Step 3: Cross multiply
    576,578x = 864,646.68 × 276,973.20
  4. Step 4: Simplify right side
    576,578x = 239,483,957,828.98
  5. Step 5: Solve for x
    x = 239,483,957,828.98/576,578
  6. Step 6: Final answer
    x = 415,353.96

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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.