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Finding the Fourth Proportional to 426,142.08, 638,604 and 312,934.32

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Solution

The fourth proportional to 426,142.08, 638,604 and 312,934.32 is: 468,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,142.08 : 638,604 = 312,934.32 : x
  2. Step 2: Convert to fraction form
    426,142.08/638,604 = 312,934.32/x
  3. Step 3: Cross multiply
    426,142.08x = 638,604 × 312,934.32
  4. Step 4: Simplify right side
    426,142.08x = 199,841,108,489.28
  5. Step 5: Solve for x
    x = 199,841,108,489.28/426,142.08
  6. Step 6: Final answer
    x = 468,954.18

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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.