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Finding the Fourth Proportional to 642,246.40, 962,332.80 and 405,164.80

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Solution

The fourth proportional to 642,246.40, 962,332.80 and 405,164.80 is: 607,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,246.40 : 962,332.80 = 405,164.80 : x
  2. Step 2: Convert to fraction form
    642,246.40/962,332.80 = 405,164.80/x
  3. Step 3: Cross multiply
    642,246.40x = 962,332.80 × 405,164.80
  4. Step 4: Simplify right side
    642,246.40x = 389,903,376,445.44
  5. Step 5: Solve for x
    x = 389,903,376,445.44/642,246.40
  6. Step 6: Final answer
    x = 607,093.13

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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.