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Finding the Fourth Proportional to 806,411.40, 1,209,762.90 and 406,044.60

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Solution

The fourth proportional to 806,411.40, 1,209,762.90 and 406,044.60 is: 609,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,411.40 : 1,209,762.90 = 406,044.60 : x
  2. Step 2: Convert to fraction form
    806,411.40/1,209,762.90 = 406,044.60/x
  3. Step 3: Cross multiply
    806,411.40x = 1,209,762.90 × 406,044.60
  4. Step 4: Simplify right side
    806,411.40x = 491,217,692,825.34
  5. Step 5: Solve for x
    x = 491,217,692,825.34/806,411.40
  6. Step 6: Final answer
    x = 609,140.31

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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.