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Finding the Fourth Proportional to 806,657.20, 1,210,423.20 and 333,390.40

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Solution

The fourth proportional to 806,657.20, 1,210,423.20 and 333,390.40 is: 500,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,657.20 : 1,210,423.20 = 333,390.40 : x
  2. Step 2: Convert to fraction form
    806,657.20/1,210,423.20 = 333,390.40/x
  3. Step 3: Cross multiply
    806,657.20x = 1,210,423.20 × 333,390.40
  4. Step 4: Simplify right side
    806,657.20x = 403,543,474,817.28
  5. Step 5: Solve for x
    x = 403,543,474,817.28/806,657.20
  6. Step 6: Final answer
    x = 500,266.38

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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.