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Finding the Fourth Proportional to 642,730.90, 965,133.15 and 433,297.30

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Solution

The fourth proportional to 642,730.90, 965,133.15 and 433,297.30 is: 650,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,730.90 : 965,133.15 = 433,297.30 : x
  2. Step 2: Convert to fraction form
    642,730.90/965,133.15 = 433,297.30/x
  3. Step 3: Cross multiply
    642,730.90x = 965,133.15 × 433,297.30
  4. Step 4: Simplify right side
    642,730.90x = 418,189,588,035.50
  5. Step 5: Solve for x
    x = 418,189,588,035.50/642,730.90
  6. Step 6: Final answer
    x = 650,644.91

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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.