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Finding the Fourth Proportional to 704,812.80, 1,057,219.20 and 406,214.40

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Solution

The fourth proportional to 704,812.80, 1,057,219.20 and 406,214.40 is: 609,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,812.80 : 1,057,219.20 = 406,214.40 : x
  2. Step 2: Convert to fraction form
    704,812.80/1,057,219.20 = 406,214.40/x
  3. Step 3: Cross multiply
    704,812.80x = 1,057,219.20 × 406,214.40
  4. Step 4: Simplify right side
    704,812.80x = 429,457,662,996.48
  5. Step 5: Solve for x
    x = 429,457,662,996.48/704,812.80
  6. Step 6: Final answer
    x = 609,321.60

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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.