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Finding the Fourth Proportional to 709,237.64, 978,746.79 and 386,947.77

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Solution

The fourth proportional to 709,237.64, 978,746.79 and 386,947.77 is: 533,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,237.64 : 978,746.79 = 386,947.77 : x
  2. Step 2: Convert to fraction form
    709,237.64/978,746.79 = 386,947.77/x
  3. Step 3: Cross multiply
    709,237.64x = 978,746.79 × 386,947.77
  4. Step 4: Simplify right side
    709,237.64x = 378,723,887,785.16
  5. Step 5: Solve for x
    x = 378,723,887,785.16/709,237.64
  6. Step 6: Final answer
    x = 533,987.29

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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.