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Finding the Fourth Proportional to 512,345.79, 768,784.65 and 208,962.52

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Solution

The fourth proportional to 512,345.79, 768,784.65 and 208,962.52 is: 313,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,345.79 : 768,784.65 = 208,962.52 : x
  2. Step 2: Convert to fraction form
    512,345.79/768,784.65 = 208,962.52/x
  3. Step 3: Cross multiply
    512,345.79x = 768,784.65 × 208,962.52
  4. Step 4: Simplify right side
    512,345.79x = 160,647,176,756.51
  5. Step 5: Solve for x
    x = 160,647,176,756.51/512,345.79
  6. Step 6: Final answer
    x = 313,552.25

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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.