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Finding the Fourth Proportional to 458,130, 687,284.46 and 138,307.80

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Solution

The fourth proportional to 458,130, 687,284.46 and 138,307.80 is: 207,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,130 : 687,284.46 = 138,307.80 : x
  2. Step 2: Convert to fraction form
    458,130/687,284.46 = 138,307.80/x
  3. Step 3: Cross multiply
    458,130x = 687,284.46 × 138,307.80
  4. Step 4: Simplify right side
    458,130x = 95,056,801,636.79
  5. Step 5: Solve for x
    x = 95,056,801,636.79/458,130
  6. Step 6: Final answer
    x = 207,488.71

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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.