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Finding the Fourth Proportional to 642,510.40, 963,765.60 and 405,083.20

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Solution

The fourth proportional to 642,510.40, 963,765.60 and 405,083.20 is: 607,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,510.40 : 963,765.60 = 405,083.20 : x
  2. Step 2: Convert to fraction form
    642,510.40/963,765.60 = 405,083.20/x
  3. Step 3: Cross multiply
    642,510.40x = 963,765.60 × 405,083.20
  4. Step 4: Simplify right side
    642,510.40x = 390,405,253,297.92
  5. Step 5: Solve for x
    x = 390,405,253,297.92/642,510.40
  6. Step 6: Final answer
    x = 607,624.80

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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.