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Finding the Fourth Proportional to 564,932.75, 779,417.50 and 319,884.02

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Solution

The fourth proportional to 564,932.75, 779,417.50 and 319,884.02 is: 441,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,932.75 : 779,417.50 = 319,884.02 : x
  2. Step 2: Convert to fraction form
    564,932.75/779,417.50 = 319,884.02/x
  3. Step 3: Cross multiply
    564,932.75x = 779,417.50 × 319,884.02
  4. Step 4: Simplify right side
    564,932.75x = 249,323,203,158.35
  5. Step 5: Solve for x
    x = 249,323,203,158.35/564,932.75
  6. Step 6: Final answer
    x = 441,332.54

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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.