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Finding the Fourth Proportional to 228,445.13, 315,210.53 and 147,861.47

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Solution

The fourth proportional to 228,445.13, 315,210.53 and 147,861.47 is: 204,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,445.13 : 315,210.53 = 147,861.47 : x
  2. Step 2: Convert to fraction form
    228,445.13/315,210.53 = 147,861.47/x
  3. Step 3: Cross multiply
    228,445.13x = 315,210.53 × 147,861.47
  4. Step 4: Simplify right side
    228,445.13x = 46,607,490,009.92
  5. Step 5: Solve for x
    x = 46,607,490,009.92/228,445.13
  6. Step 6: Final answer
    x = 204,020.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.