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Finding the Fourth Proportional to 556,031.42, 767,324.50 and 301,382.78

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Solution

The fourth proportional to 556,031.42, 767,324.50 and 301,382.78 is: 415,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,031.42 : 767,324.50 = 301,382.78 : x
  2. Step 2: Convert to fraction form
    556,031.42/767,324.50 = 301,382.78/x
  3. Step 3: Cross multiply
    556,031.42x = 767,324.50 × 301,382.78
  4. Step 4: Simplify right side
    556,031.42x = 231,258,390,972.11
  5. Step 5: Solve for x
    x = 231,258,390,972.11/556,031.42
  6. Step 6: Final answer
    x = 415,908.85

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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.