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Finding the Fourth Proportional to 556,166.28, 767,548.80 and 314,451.20

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Solution

The fourth proportional to 556,166.28, 767,548.80 and 314,451.20 is: 433,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,166.28 : 767,548.80 = 314,451.20 : x
  2. Step 2: Convert to fraction form
    556,166.28/767,548.80 = 314,451.20/x
  3. Step 3: Cross multiply
    556,166.28x = 767,548.80 × 314,451.20
  4. Step 4: Simplify right side
    556,166.28x = 241,356,641,218.56
  5. Step 5: Solve for x
    x = 241,356,641,218.56/556,166.28
  6. Step 6: Final answer
    x = 433,964.89

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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.