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Finding the Fourth Proportional to 652,220.12, 977,871.80 and 287,308.56

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Solution

The fourth proportional to 652,220.12, 977,871.80 and 287,308.56 is: 430,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,220.12 : 977,871.80 = 287,308.56 : x
  2. Step 2: Convert to fraction form
    652,220.12/977,871.80 = 287,308.56/x
  3. Step 3: Cross multiply
    652,220.12x = 977,871.80 × 287,308.56
  4. Step 4: Simplify right side
    652,220.12x = 280,950,938,722.61
  5. Step 5: Solve for x
    x = 280,950,938,722.61/652,220.12
  6. Step 6: Final answer
    x = 430,760.92

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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.