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Finding the Fourth Proportional to 312,547.82, 431,315.96 and 169,307.82

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Solution

The fourth proportional to 312,547.82, 431,315.96 and 169,307.82 is: 233,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,547.82 : 431,315.96 = 169,307.82 : x
  2. Step 2: Convert to fraction form
    312,547.82/431,315.96 = 169,307.82/x
  3. Step 3: Cross multiply
    312,547.82x = 431,315.96 × 169,307.82
  4. Step 4: Simplify right side
    312,547.82x = 73,025,164,072.27
  5. Step 5: Solve for x
    x = 73,025,164,072.27/312,547.82
  6. Step 6: Final answer
    x = 233,644.78

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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.