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Finding the Fourth Proportional to 315,628.11, 473,441.85 and 78,970.59

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Solution

The fourth proportional to 315,628.11, 473,441.85 and 78,970.59 is: 118,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,628.11 : 473,441.85 = 78,970.59 : x
  2. Step 2: Convert to fraction form
    315,628.11/473,441.85 = 78,970.59/x
  3. Step 3: Cross multiply
    315,628.11x = 473,441.85 × 78,970.59
  4. Step 4: Simplify right side
    315,628.11x = 37,387,982,225.19
  5. Step 5: Solve for x
    x = 37,387,982,225.19/315,628.11
  6. Step 6: Final answer
    x = 118,455.81

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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.