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Finding the Fourth Proportional to 378,013.15, 567,019.73 and 97,530.40

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Solution

The fourth proportional to 378,013.15, 567,019.73 and 97,530.40 is: 146,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,013.15 : 567,019.73 = 97,530.40 : x
  2. Step 2: Convert to fraction form
    378,013.15/567,019.73 = 97,530.40/x
  3. Step 3: Cross multiply
    378,013.15x = 567,019.73 × 97,530.40
  4. Step 4: Simplify right side
    378,013.15x = 55,301,660,587.14
  5. Step 5: Solve for x
    x = 55,301,660,587.14/378,013.15
  6. Step 6: Final answer
    x = 146,295.60

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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.