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Finding the Fourth Proportional to 477,296.30, 715,944.17 and 140,339.75

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Solution

The fourth proportional to 477,296.30, 715,944.17 and 140,339.75 is: 210,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,296.30 : 715,944.17 = 140,339.75 : x
  2. Step 2: Convert to fraction form
    477,296.30/715,944.17 = 140,339.75/x
  3. Step 3: Cross multiply
    477,296.30x = 715,944.17 × 140,339.75
  4. Step 4: Simplify right side
    477,296.30x = 100,475,421,550.34
  5. Step 5: Solve for x
    x = 100,475,421,550.34/477,296.30
  6. Step 6: Final answer
    x = 210,509.54

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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.