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Finding the Fourth Proportional to 463,705.95, 638,821.75 and 435,805.30

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Solution

The fourth proportional to 463,705.95, 638,821.75 and 435,805.30 is: 600,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,705.95 : 638,821.75 = 435,805.30 : x
  2. Step 2: Convert to fraction form
    463,705.95/638,821.75 = 435,805.30/x
  3. Step 3: Cross multiply
    463,705.95x = 638,821.75 × 435,805.30
  4. Step 4: Simplify right side
    463,705.95x = 278,401,904,405.28
  5. Step 5: Solve for x
    x = 278,401,904,405.28/463,705.95
  6. Step 6: Final answer
    x = 600,384.59

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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.