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Finding the Fourth Proportional to 783,279, 1,080,931.50 and 425,583

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Solution

The fourth proportional to 783,279, 1,080,931.50 and 425,583 is: 587,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,279 : 1,080,931.50 = 425,583 : x
  2. Step 2: Convert to fraction form
    783,279/1,080,931.50 = 425,583/x
  3. Step 3: Cross multiply
    783,279x = 1,080,931.50 × 425,583
  4. Step 4: Simplify right side
    783,279x = 460,026,070,564.50
  5. Step 5: Solve for x
    x = 460,026,070,564.50/783,279
  6. Step 6: Final answer
    x = 587,308.06

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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.