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Finding the Fourth Proportional to 312,510.54, 430,981.08 and 205,039.74

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Solution

The fourth proportional to 312,510.54, 430,981.08 and 205,039.74 is: 282,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,510.54 : 430,981.08 = 205,039.74 : x
  2. Step 2: Convert to fraction form
    312,510.54/430,981.08 = 205,039.74/x
  3. Step 3: Cross multiply
    312,510.54x = 430,981.08 × 205,039.74
  4. Step 4: Simplify right side
    312,510.54x = 88,368,248,588.12
  5. Step 5: Solve for x
    x = 88,368,248,588.12/312,510.54
  6. Step 6: Final answer
    x = 282,768.86

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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.