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Finding the Fourth Proportional to 521,486.46, 719,661.53 and 340,314.30

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Solution

The fourth proportional to 521,486.46, 719,661.53 and 340,314.30 is: 469,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,486.46 : 719,661.53 = 340,314.30 : x
  2. Step 2: Convert to fraction form
    521,486.46/719,661.53 = 340,314.30/x
  3. Step 3: Cross multiply
    521,486.46x = 719,661.53 × 340,314.30
  4. Step 4: Simplify right side
    521,486.46x = 244,911,109,818.88
  5. Step 5: Solve for x
    x = 244,911,109,818.88/521,486.46
  6. Step 6: Final answer
    x = 469,640.40

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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.