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Finding the Fourth Proportional to 783,305, 1,080,967.50 and 425,609

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Solution

The fourth proportional to 783,305, 1,080,967.50 and 425,609 is: 587,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,305 : 1,080,967.50 = 425,609 : x
  2. Step 2: Convert to fraction form
    783,305/1,080,967.50 = 425,609/x
  3. Step 3: Cross multiply
    783,305x = 1,080,967.50 × 425,609
  4. Step 4: Simplify right side
    783,305x = 460,069,496,707.50
  5. Step 5: Solve for x
    x = 460,069,496,707.50/783,305
  6. Step 6: Final answer
    x = 587,344.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.