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Finding the Fourth Proportional to 556,212.70, 767,588.64 and 314,531.43

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Solution

The fourth proportional to 556,212.70, 767,588.64 and 314,531.43 is: 434,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,212.70 : 767,588.64 = 314,531.43 : x
  2. Step 2: Convert to fraction form
    556,212.70/767,588.64 = 314,531.43/x
  3. Step 3: Cross multiply
    556,212.70x = 767,588.64 × 314,531.43
  4. Step 4: Simplify right side
    556,212.70x = 241,430,752,590.96
  5. Step 5: Solve for x
    x = 241,430,752,590.96/556,212.70
  6. Step 6: Final answer
    x = 434,061.92

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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.