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Finding the Fourth Proportional to 315,482.50, 473,224.77 and 78,825.21

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Solution

The fourth proportional to 315,482.50, 473,224.77 and 78,825.21 is: 118,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,482.50 : 473,224.77 = 78,825.21 : x
  2. Step 2: Convert to fraction form
    315,482.50/473,224.77 = 78,825.21/x
  3. Step 3: Cross multiply
    315,482.50x = 473,224.77 × 78,825.21
  4. Step 4: Simplify right side
    315,482.50x = 37,302,039,112.20
  5. Step 5: Solve for x
    x = 37,302,039,112.20/315,482.50
  6. Step 6: Final answer
    x = 118,238.06

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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.