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Finding the Fourth Proportional to 431,261.88, 647,462.40 and 368,484

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Solution

The fourth proportional to 431,261.88, 647,462.40 and 368,484 is: 553,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,261.88 : 647,462.40 = 368,484 : x
  2. Step 2: Convert to fraction form
    431,261.88/647,462.40 = 368,484/x
  3. Step 3: Cross multiply
    431,261.88x = 647,462.40 × 368,484
  4. Step 4: Simplify right side
    431,261.88x = 238,579,535,001.60
  5. Step 5: Solve for x
    x = 238,579,535,001.60/431,261.88
  6. Step 6: Final answer
    x = 553,212.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.