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Finding the Fourth Proportional to 704,804.80, 1,057,207.20 and 406,206.40

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Solution

The fourth proportional to 704,804.80, 1,057,207.20 and 406,206.40 is: 609,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,804.80 : 1,057,207.20 = 406,206.40 : x
  2. Step 2: Convert to fraction form
    704,804.80/1,057,207.20 = 406,206.40/x
  3. Step 3: Cross multiply
    704,804.80x = 1,057,207.20 × 406,206.40
  4. Step 4: Simplify right side
    704,804.80x = 429,444,330,766.08
  5. Step 5: Solve for x
    x = 429,444,330,766.08/704,804.80
  6. Step 6: Final answer
    x = 609,309.60

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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.