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Finding the Fourth Proportional to 709,342.58, 978,637 and 546,049.02

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Solution

The fourth proportional to 709,342.58, 978,637 and 546,049.02 is: 753,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,342.58 : 978,637 = 546,049.02 : x
  2. Step 2: Convert to fraction form
    709,342.58/978,637 = 546,049.02/x
  3. Step 3: Cross multiply
    709,342.58x = 978,637 × 546,049.02
  4. Step 4: Simplify right side
    709,342.58x = 534,383,774,785.74
  5. Step 5: Solve for x
    x = 534,383,774,785.74/709,342.58
  6. Step 6: Final answer
    x = 753,350.76

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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.