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Finding the Fourth Proportional to 529,767, 731,078.46 and 291,303

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Solution

The fourth proportional to 529,767, 731,078.46 and 291,303 is: 401,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,767 : 731,078.46 = 291,303 : x
  2. Step 2: Convert to fraction form
    529,767/731,078.46 = 291,303/x
  3. Step 3: Cross multiply
    529,767x = 731,078.46 × 291,303
  4. Step 4: Simplify right side
    529,767x = 212,965,348,633.38
  5. Step 5: Solve for x
    x = 212,965,348,633.38/529,767
  6. Step 6: Final answer
    x = 401,998.14

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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.