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Finding the Fourth Proportional to 648,051.70, 971,947.95 and 311,091.70

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Solution

The fourth proportional to 648,051.70, 971,947.95 and 311,091.70 is: 466,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,051.70 : 971,947.95 = 311,091.70 : x
  2. Step 2: Convert to fraction form
    648,051.70/971,947.95 = 311,091.70/x
  3. Step 3: Cross multiply
    648,051.70x = 971,947.95 × 311,091.70
  4. Step 4: Simplify right side
    648,051.70x = 302,364,940,077.02
  5. Step 5: Solve for x
    x = 302,364,940,077.02/648,051.70
  6. Step 6: Final answer
    x = 466,575.34

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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.