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Finding the Fourth Proportional to 556,369.29, 767,708.82 and 311,352.86

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Solution

The fourth proportional to 556,369.29, 767,708.82 and 311,352.86 is: 429,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,369.29 : 767,708.82 = 311,352.86 : x
  2. Step 2: Convert to fraction form
    556,369.29/767,708.82 = 311,352.86/x
  3. Step 3: Cross multiply
    556,369.29x = 767,708.82 × 311,352.86
  4. Step 4: Simplify right side
    556,369.29x = 239,028,338,673.50
  5. Step 5: Solve for x
    x = 239,028,338,673.50/556,369.29
  6. Step 6: Final answer
    x = 429,621.73

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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.