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Finding the Fourth Proportional to 953,292, 1,430,134.92 and 279,395.40

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Solution

The fourth proportional to 953,292, 1,430,134.92 and 279,395.40 is: 419,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,292 : 1,430,134.92 = 279,395.40 : x
  2. Step 2: Convert to fraction form
    953,292/1,430,134.92 = 279,395.40/x
  3. Step 3: Cross multiply
    953,292x = 1,430,134.92 × 279,395.40
  4. Step 4: Simplify right side
    953,292x = 399,573,118,027.37
  5. Step 5: Solve for x
    x = 399,573,118,027.37/953,292
  6. Step 6: Final answer
    x = 419,150.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.