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Finding the Fourth Proportional to 315,224.53, 470,060.57 and 312,381.43

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Solution

The fourth proportional to 315,224.53, 470,060.57 and 312,381.43 is: 465,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,224.53 : 470,060.57 = 312,381.43 : x
  2. Step 2: Convert to fraction form
    315,224.53/470,060.57 = 312,381.43/x
  3. Step 3: Cross multiply
    315,224.53x = 470,060.57 × 312,381.43
  4. Step 4: Simplify right side
    315,224.53x = 146,838,193,043.22
  5. Step 5: Solve for x
    x = 146,838,193,043.22/315,224.53
  6. Step 6: Final answer
    x = 465,820.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.