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Finding the Fourth Proportional to 477,013.50, 715,848.30 and 196,530.78

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Solution

The fourth proportional to 477,013.50, 715,848.30 and 196,530.78 is: 294,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,013.50 : 715,848.30 = 196,530.78 : x
  2. Step 2: Convert to fraction form
    477,013.50/715,848.30 = 196,530.78/x
  3. Step 3: Cross multiply
    477,013.50x = 715,848.30 × 196,530.78
  4. Step 4: Simplify right side
    477,013.50x = 140,686,224,760.67
  5. Step 5: Solve for x
    x = 140,686,224,760.67/477,013.50
  6. Step 6: Final answer
    x = 294,931.33

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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.