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Finding the Fourth Proportional to 653,029.77, 979,622.56 and 315,828.12

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Solution

The fourth proportional to 653,029.77, 979,622.56 and 315,828.12 is: 473,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,029.77 : 979,622.56 = 315,828.12 : x
  2. Step 2: Convert to fraction form
    653,029.77/979,622.56 = 315,828.12/x
  3. Step 3: Cross multiply
    653,029.77x = 979,622.56 × 315,828.12
  4. Step 4: Simplify right side
    653,029.77x = 309,392,351,434.39
  5. Step 5: Solve for x
    x = 309,392,351,434.39/653,029.77
  6. Step 6: Final answer
    x = 473,779.86

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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.