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Finding the Fourth Proportional to 461,390.52, 692,091.54 and 145,875

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Solution

The fourth proportional to 461,390.52, 692,091.54 and 145,875 is: 218,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,390.52 : 692,091.54 = 145,875 : x
  2. Step 2: Convert to fraction form
    461,390.52/692,091.54 = 145,875/x
  3. Step 3: Cross multiply
    461,390.52x = 692,091.54 × 145,875
  4. Step 4: Simplify right side
    461,390.52x = 100,958,853,397.50
  5. Step 5: Solve for x
    x = 100,958,853,397.50/461,390.52
  6. Step 6: Final answer
    x = 218,814.32

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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.