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Finding the Fourth Proportional to 346,494.88, 519,431.28 and 287,708.32

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Solution

The fourth proportional to 346,494.88, 519,431.28 and 287,708.32 is: 431,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,494.88 : 519,431.28 = 287,708.32 : x
  2. Step 2: Convert to fraction form
    346,494.88/519,431.28 = 287,708.32/x
  3. Step 3: Cross multiply
    346,494.88x = 519,431.28 × 287,708.32
  4. Step 4: Simplify right side
    346,494.88x = 149,444,700,924.25
  5. Step 5: Solve for x
    x = 149,444,700,924.25/346,494.88
  6. Step 6: Final answer
    x = 431,304.21

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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.