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Finding the Fourth Proportional to 215,878.40, 323,740.80 and 97,606.40

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Solution

The fourth proportional to 215,878.40, 323,740.80 and 97,606.40 is: 146,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,878.40 : 323,740.80 = 97,606.40 : x
  2. Step 2: Convert to fraction form
    215,878.40/323,740.80 = 97,606.40/x
  3. Step 3: Cross multiply
    215,878.40x = 323,740.80 × 97,606.40
  4. Step 4: Simplify right side
    215,878.40x = 31,599,174,021.12
  5. Step 5: Solve for x
    x = 31,599,174,021.12/215,878.40
  6. Step 6: Final answer
    x = 146,374.88

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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.