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Finding the Fourth Proportional to 545,013, 817,548.66 and 171,065.16

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Solution

The fourth proportional to 545,013, 817,548.66 and 171,065.16 is: 256,606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,013 : 817,548.66 = 171,065.16 : x
  2. Step 2: Convert to fraction form
    545,013/817,548.66 = 171,065.16/x
  3. Step 3: Cross multiply
    545,013x = 817,548.66 × 171,065.16
  4. Step 4: Simplify right side
    545,013x = 139,854,092,330.69
  5. Step 5: Solve for x
    x = 139,854,092,330.69/545,013
  6. Step 6: Final answer
    x = 256,606.89

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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.