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Finding the Fourth Proportional to 529,764, 731,074.32 and 291,300

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Solution

The fourth proportional to 529,764, 731,074.32 and 291,300 is: 401,994

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,764 : 731,074.32 = 291,300 : x
  2. Step 2: Convert to fraction form
    529,764/731,074.32 = 291,300/x
  3. Step 3: Cross multiply
    529,764x = 731,074.32 × 291,300
  4. Step 4: Simplify right side
    529,764x = 212,961,949,416
  5. Step 5: Solve for x
    x = 212,961,949,416/529,764
  6. Step 6: Final answer
    x = 401,994

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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.