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Finding the Fourth Proportional to 705,211.32, 972,951.24 and 450,709.32

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Solution

The fourth proportional to 705,211.32, 972,951.24 and 450,709.32 is: 621,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,211.32 : 972,951.24 = 450,709.32 : x
  2. Step 2: Convert to fraction form
    705,211.32/972,951.24 = 450,709.32/x
  3. Step 3: Cross multiply
    705,211.32x = 972,951.24 × 450,709.32
  4. Step 4: Simplify right side
    705,211.32x = 438,518,191,773.56
  5. Step 5: Solve for x
    x = 438,518,191,773.56/705,211.32
  6. Step 6: Final answer
    x = 621,825.23

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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.