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Finding the Fourth Proportional to 556,142.68, 767,447.37 and 314,410.84

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Solution

The fourth proportional to 556,142.68, 767,447.37 and 314,410.84 is: 433,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,142.68 : 767,447.37 = 314,410.84 : x
  2. Step 2: Convert to fraction form
    556,142.68/767,447.37 = 314,410.84/x
  3. Step 3: Cross multiply
    556,142.68x = 767,447.37 × 314,410.84
  4. Step 4: Simplify right side
    556,142.68x = 241,293,770,338.87
  5. Step 5: Solve for x
    x = 241,293,770,338.87/556,142.68
  6. Step 6: Final answer
    x = 433,870.26

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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.