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Finding the Fourth Proportional to 709,237.20, 978,746.37 and 386,947.30

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Solution

The fourth proportional to 709,237.20, 978,746.37 and 386,947.30 is: 533,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,237.20 : 978,746.37 = 386,947.30 : x
  2. Step 2: Convert to fraction form
    709,237.20/978,746.37 = 386,947.30/x
  3. Step 3: Cross multiply
    709,237.20x = 978,746.37 × 386,947.30
  4. Step 4: Simplify right side
    709,237.20x = 378,723,266,095.64
  5. Step 5: Solve for x
    x = 378,723,266,095.64/709,237.20
  6. Step 6: Final answer
    x = 533,986.75

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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.