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Finding the Fourth Proportional to 516,130.60, 712,271.51 and 283,560.54

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Solution

The fourth proportional to 516,130.60, 712,271.51 and 283,560.54 is: 391,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,130.60 : 712,271.51 = 283,560.54 : x
  2. Step 2: Convert to fraction form
    516,130.60/712,271.51 = 283,560.54/x
  3. Step 3: Cross multiply
    516,130.60x = 712,271.51 × 283,560.54
  4. Step 4: Simplify right side
    516,130.60x = 201,972,092,584.41
  5. Step 5: Solve for x
    x = 201,972,092,584.41/516,130.60
  6. Step 6: Final answer
    x = 391,319.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.