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Finding the Fourth Proportional to 312,798.46, 431,383.16 and 243,905

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Solution

The fourth proportional to 312,798.46, 431,383.16 and 243,905 is: 336,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,798.46 : 431,383.16 = 243,905 : x
  2. Step 2: Convert to fraction form
    312,798.46/431,383.16 = 243,905/x
  3. Step 3: Cross multiply
    312,798.46x = 431,383.16 × 243,905
  4. Step 4: Simplify right side
    312,798.46x = 105,216,509,639.80
  5. Step 5: Solve for x
    x = 105,216,509,639.80/312,798.46
  6. Step 6: Final answer
    x = 336,371.57

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1.5x scale

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.