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Finding the Fourth Proportional to 312,715.32, 431,547.47 and 169,475.32

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Solution

The fourth proportional to 312,715.32, 431,547.47 and 169,475.32 is: 233,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,715.32 : 431,547.47 = 169,475.32 : x
  2. Step 2: Convert to fraction form
    312,715.32/431,547.47 = 169,475.32/x
  3. Step 3: Cross multiply
    312,715.32x = 431,547.47 × 169,475.32
  4. Step 4: Simplify right side
    312,715.32x = 73,136,645,573.44
  5. Step 5: Solve for x
    x = 73,136,645,573.44/312,715.32
  6. Step 6: Final answer
    x = 233,876.12

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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.