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Finding the Fourth Proportional to 564,581.36, 779,125.56 and 309,934.64

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Solution

The fourth proportional to 564,581.36, 779,125.56 and 309,934.64 is: 427,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,581.36 : 779,125.56 = 309,934.64 : x
  2. Step 2: Convert to fraction form
    564,581.36/779,125.56 = 309,934.64/x
  3. Step 3: Cross multiply
    564,581.36x = 779,125.56 × 309,934.64
  4. Step 4: Simplify right side
    564,581.36x = 241,477,999,953.40
  5. Step 5: Solve for x
    x = 241,477,999,953.40/564,581.36
  6. Step 6: Final answer
    x = 427,711.61

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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.