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Finding the Fourth Proportional to 702,689.20, 969,710.90 and 380,399.06

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Solution

The fourth proportional to 702,689.20, 969,710.90 and 380,399.06 is: 524,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,689.20 : 969,710.90 = 380,399.06 : x
  2. Step 2: Convert to fraction form
    702,689.20/969,710.90 = 380,399.06/x
  3. Step 3: Cross multiply
    702,689.20x = 969,710.90 × 380,399.06
  4. Step 4: Simplify right side
    702,689.20x = 368,877,115,354.04
  5. Step 5: Solve for x
    x = 368,877,115,354.04/702,689.20
  6. Step 6: Final answer
    x = 524,950.60

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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.