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Finding the Fourth Proportional to 806,435.60, 1,209,653.40 and 333,460.40

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Solution

The fourth proportional to 806,435.60, 1,209,653.40 and 333,460.40 is: 500,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,435.60 : 1,209,653.40 = 333,460.40 : x
  2. Step 2: Convert to fraction form
    806,435.60/1,209,653.40 = 333,460.40/x
  3. Step 3: Cross multiply
    806,435.60x = 1,209,653.40 × 333,460.40
  4. Step 4: Simplify right side
    806,435.60x = 403,371,506,625.36
  5. Step 5: Solve for x
    x = 403,371,506,625.36/806,435.60
  6. Step 6: Final answer
    x = 500,190.60

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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.