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Finding the Fourth Proportional to 556,451.48, 767,920.43 and 314,729.32

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Solution

The fourth proportional to 556,451.48, 767,920.43 and 314,729.32 is: 434,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,451.48 : 767,920.43 = 314,729.32 : x
  2. Step 2: Convert to fraction form
    556,451.48/767,920.43 = 314,729.32/x
  3. Step 3: Cross multiply
    556,451.48x = 767,920.43 × 314,729.32
  4. Step 4: Simplify right side
    556,451.48x = 241,687,073,174.36
  5. Step 5: Solve for x
    x = 241,687,073,174.36/556,451.48
  6. Step 6: Final answer
    x = 434,336.29

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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.