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Finding the Fourth Proportional to 512,643.38, 767,783.55 and 354,983.54

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Solution

The fourth proportional to 512,643.38, 767,783.55 and 354,983.54 is: 531,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,643.38 : 767,783.55 = 354,983.54 : x
  2. Step 2: Convert to fraction form
    512,643.38/767,783.55 = 354,983.54/x
  3. Step 3: Cross multiply
    512,643.38x = 767,783.55 × 354,983.54
  4. Step 4: Simplify right side
    512,643.38x = 272,550,522,532.77
  5. Step 5: Solve for x
    x = 272,550,522,532.77/512,643.38
  6. Step 6: Final answer
    x = 531,657.16

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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.