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Finding the Fourth Proportional to 702,689.83, 969,710.86 and 380,399.87

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Solution

The fourth proportional to 702,689.83, 969,710.86 and 380,399.87 is: 524,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,689.83 : 969,710.86 = 380,399.87 : x
  2. Step 2: Convert to fraction form
    702,689.83/969,710.86 = 380,399.87/x
  3. Step 3: Cross multiply
    702,689.83x = 969,710.86 × 380,399.87
  4. Step 4: Simplify right side
    702,689.83x = 368,877,885,081.59
  5. Step 5: Solve for x
    x = 368,877,885,081.59/702,689.83
  6. Step 6: Final answer
    x = 524,951.22

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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.