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Finding the Fourth Proportional to 556,935.75, 768,507.41 and 311,886.32

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Solution

The fourth proportional to 556,935.75, 768,507.41 and 311,886.32 is: 430,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,935.75 : 768,507.41 = 311,886.32 : x
  2. Step 2: Convert to fraction form
    556,935.75/768,507.41 = 311,886.32/x
  3. Step 3: Cross multiply
    556,935.75x = 768,507.41 × 311,886.32
  4. Step 4: Simplify right side
    556,935.75x = 239,686,944,934.81
  5. Step 5: Solve for x
    x = 239,686,944,934.81/556,935.75
  6. Step 6: Final answer
    x = 430,367.32

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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.