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Finding the Fourth Proportional to 665,855.52, 998,673.93 and 286,674.15

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Solution

The fourth proportional to 665,855.52, 998,673.93 and 286,674.15 is: 429,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,855.52 : 998,673.93 = 286,674.15 : x
  2. Step 2: Convert to fraction form
    665,855.52/998,673.93 = 286,674.15/x
  3. Step 3: Cross multiply
    665,855.52x = 998,673.93 × 286,674.15
  4. Step 4: Simplify right side
    665,855.52x = 286,294,000,009.91
  5. Step 5: Solve for x
    x = 286,294,000,009.91/665,855.52
  6. Step 6: Final answer
    x = 429,964.15

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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.