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Finding the Fourth Proportional to 411,655.54, 616,486.72 and 284,940.76

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Solution

The fourth proportional to 411,655.54, 616,486.72 and 284,940.76 is: 426,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,655.54 : 616,486.72 = 284,940.76 : x
  2. Step 2: Convert to fraction form
    411,655.54/616,486.72 = 284,940.76/x
  3. Step 3: Cross multiply
    411,655.54x = 616,486.72 × 284,940.76
  4. Step 4: Simplify right side
    411,655.54x = 175,662,194,526.71
  5. Step 5: Solve for x
    x = 175,662,194,526.71/411,655.54
  6. Step 6: Final answer
    x = 426,721.32

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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.