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Finding the Fourth Proportional to 529,843.04, 731,215.25 and 312,196.74

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Solution

The fourth proportional to 529,843.04, 731,215.25 and 312,196.74 is: 430,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,843.04 : 731,215.25 = 312,196.74 : x
  2. Step 2: Convert to fraction form
    529,843.04/731,215.25 = 312,196.74/x
  3. Step 3: Cross multiply
    529,843.04x = 731,215.25 × 312,196.74
  4. Step 4: Simplify right side
    529,843.04x = 228,283,017,288.29
  5. Step 5: Solve for x
    x = 228,283,017,288.29/529,843.04
  6. Step 6: Final answer
    x = 430,850.27

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1.5x scale

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.