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Finding the Fourth Proportional to 564,039.86, 845,639.00 and 339,347.64

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Solution

The fourth proportional to 564,039.86, 845,639.00 and 339,347.64 is: 508,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,039.86 : 845,639.00 = 339,347.64 : x
  2. Step 2: Convert to fraction form
    564,039.86/845,639.00 = 339,347.64/x
  3. Step 3: Cross multiply
    564,039.86x = 845,639.00 × 339,347.64
  4. Step 4: Simplify right side
    564,039.86x = 286,965,603,597.75
  5. Step 5: Solve for x
    x = 286,965,603,597.75/564,039.86
  6. Step 6: Final answer
    x = 508,768.31

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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.