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Finding the Fourth Proportional to 556,439.29, 767,886.28 and 314,716.73

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Solution

The fourth proportional to 556,439.29, 767,886.28 and 314,716.73 is: 434,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,439.29 : 767,886.28 = 314,716.73 : x
  2. Step 2: Convert to fraction form
    556,439.29/767,886.28 = 314,716.73/x
  3. Step 3: Cross multiply
    556,439.29x = 767,886.28 × 314,716.73
  4. Step 4: Simplify right side
    556,439.29x = 241,666,654,427.24
  5. Step 5: Solve for x
    x = 241,666,654,427.24/556,439.29
  6. Step 6: Final answer
    x = 434,309.11

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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.