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Finding the Fourth Proportional to 640,214.65, 960,037.66 and 340,632.10

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Solution

The fourth proportional to 640,214.65, 960,037.66 and 340,632.10 is: 510,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,214.65 : 960,037.66 = 340,632.10 : x
  2. Step 2: Convert to fraction form
    640,214.65/960,037.66 = 340,632.10/x
  3. Step 3: Cross multiply
    640,214.65x = 960,037.66 × 340,632.10
  4. Step 4: Simplify right side
    640,214.65x = 327,019,640,953.21
  5. Step 5: Solve for x
    x = 327,019,640,953.21/640,214.65
  6. Step 6: Final answer
    x = 510,796.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.