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Finding the Fourth Proportional to 425,345.60, 637,864.80 and 214,913.60

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Solution

The fourth proportional to 425,345.60, 637,864.80 and 214,913.60 is: 322,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,345.60 : 637,864.80 = 214,913.60 : x
  2. Step 2: Convert to fraction form
    425,345.60/637,864.80 = 214,913.60/x
  3. Step 3: Cross multiply
    425,345.60x = 637,864.80 × 214,913.60
  4. Step 4: Simplify right side
    425,345.60x = 137,085,820,481.28
  5. Step 5: Solve for x
    x = 137,085,820,481.28/425,345.60
  6. Step 6: Final answer
    x = 322,292.79

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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.