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Finding the Fourth Proportional to 783,254, 1,080,893.40 and 425,558

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Solution

The fourth proportional to 783,254, 1,080,893.40 and 425,558 is: 587,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,254 : 1,080,893.40 = 425,558 : x
  2. Step 2: Convert to fraction form
    783,254/1,080,893.40 = 425,558/x
  3. Step 3: Cross multiply
    783,254x = 1,080,893.40 × 425,558
  4. Step 4: Simplify right side
    783,254x = 459,982,833,517.20
  5. Step 5: Solve for x
    x = 459,982,833,517.20/783,254
  6. Step 6: Final answer
    x = 587,271.60

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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.