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Finding the Fourth Proportional to 512,603.60, 767,886.52 and 401,274.32

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Solution

The fourth proportional to 512,603.60, 767,886.52 and 401,274.32 is: 601,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,603.60 : 767,886.52 = 401,274.32 : x
  2. Step 2: Convert to fraction form
    512,603.60/767,886.52 = 401,274.32/x
  3. Step 3: Cross multiply
    512,603.60x = 767,886.52 × 401,274.32
  4. Step 4: Simplify right side
    512,603.60x = 308,133,141,150.17
  5. Step 5: Solve for x
    x = 308,133,141,150.17/512,603.60
  6. Step 6: Final answer
    x = 601,113.88

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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.