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Finding the Fourth Proportional to 215,783.84, 323,778.48 and 97,491.36

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Solution

The fourth proportional to 215,783.84, 323,778.48 and 97,491.36 is: 146,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,783.84 : 323,778.48 = 97,491.36 : x
  2. Step 2: Convert to fraction form
    215,783.84/323,778.48 = 97,491.36/x
  3. Step 3: Cross multiply
    215,783.84x = 323,778.48 × 97,491.36
  4. Step 4: Simplify right side
    215,783.84x = 31,565,604,353.93
  5. Step 5: Solve for x
    x = 31,565,604,353.93/215,783.84
  6. Step 6: Final answer
    x = 146,283.45

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1.5x scale

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.