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Finding the Fourth Proportional to 472,083.55, 708,742.64 and 280,308.15

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Solution

The fourth proportional to 472,083.55, 708,742.64 and 280,308.15 is: 420,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,083.55 : 708,742.64 = 280,308.15 : x
  2. Step 2: Convert to fraction form
    472,083.55/708,742.64 = 280,308.15/x
  3. Step 3: Cross multiply
    472,083.55x = 708,742.64 × 280,308.15
  4. Step 4: Simplify right side
    472,083.55x = 198,666,338,945.29
  5. Step 5: Solve for x
    x = 198,666,338,945.29/472,083.55
  6. Step 6: Final answer
    x = 420,828.77

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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.