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Finding the Fourth Proportional to 653,711.77, 901,862.83 and 378,018.68

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Solution

The fourth proportional to 653,711.77, 901,862.83 and 378,018.68 is: 521,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,711.77 : 901,862.83 = 378,018.68 : x
  2. Step 2: Convert to fraction form
    653,711.77/901,862.83 = 378,018.68/x
  3. Step 3: Cross multiply
    653,711.77x = 901,862.83 × 378,018.68
  4. Step 4: Simplify right side
    653,711.77x = 340,920,996,537.66
  5. Step 5: Solve for x
    x = 340,920,996,537.66/653,711.77
  6. Step 6: Final answer
    x = 521,515.77

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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.