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Finding the Fourth Proportional to 556,449.98, 767,918.36 and 314,727.83

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Solution

The fourth proportional to 556,449.98, 767,918.36 and 314,727.83 is: 434,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,449.98 : 767,918.36 = 314,727.83 : x
  2. Step 2: Convert to fraction form
    556,449.98/767,918.36 = 314,727.83/x
  3. Step 3: Cross multiply
    556,449.98x = 767,918.36 × 314,727.83
  4. Step 4: Simplify right side
    556,449.98x = 241,685,273,646.73
  5. Step 5: Solve for x
    x = 241,685,273,646.73/556,449.98
  6. Step 6: Final answer
    x = 434,334.23

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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.