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Finding the Fourth Proportional to 315,162.84, 472,748.34 and 104,800.76

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Solution

The fourth proportional to 315,162.84, 472,748.34 and 104,800.76 is: 157,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,162.84 : 472,748.34 = 104,800.76 : x
  2. Step 2: Convert to fraction form
    315,162.84/472,748.34 = 104,800.76/x
  3. Step 3: Cross multiply
    315,162.84x = 472,748.34 × 104,800.76
  4. Step 4: Simplify right side
    315,162.84x = 49,544,385,320.74
  5. Step 5: Solve for x
    x = 49,544,385,320.74/315,162.84
  6. Step 6: Final answer
    x = 157,202.50

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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.