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Finding the Fourth Proportional to 665,666.20, 997,952.55 and 286,877.80

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Solution

The fourth proportional to 665,666.20, 997,952.55 and 286,877.80 is: 430,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,666.20 : 997,952.55 = 286,877.80 : x
  2. Step 2: Convert to fraction form
    665,666.20/997,952.55 = 286,877.80/x
  3. Step 3: Cross multiply
    665,666.20x = 997,952.55 × 286,877.80
  4. Step 4: Simplify right side
    665,666.20x = 286,290,432,048.39
  5. Step 5: Solve for x
    x = 286,290,432,048.39/665,666.20
  6. Step 6: Final answer
    x = 430,081.07

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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.