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Finding the Fourth Proportional to 516,064.40, 712,044.24 and 301,081.76

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Solution

The fourth proportional to 516,064.40, 712,044.24 and 301,081.76 is: 415,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,064.40 : 712,044.24 = 301,081.76 : x
  2. Step 2: Convert to fraction form
    516,064.40/712,044.24 = 301,081.76/x
  3. Step 3: Cross multiply
    516,064.40x = 712,044.24 × 301,081.76
  4. Step 4: Simplify right side
    516,064.40x = 214,383,532,977.06
  5. Step 5: Solve for x
    x = 214,383,532,977.06/516,064.40
  6. Step 6: Final answer
    x = 415,420.12

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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.