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Finding the Fourth Proportional to 442,771.78, 610,916.36 and 258,981.76

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Solution

The fourth proportional to 442,771.78, 610,916.36 and 258,981.76 is: 357,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,771.78 : 610,916.36 = 258,981.76 : x
  2. Step 2: Convert to fraction form
    442,771.78/610,916.36 = 258,981.76/x
  3. Step 3: Cross multiply
    442,771.78x = 610,916.36 × 258,981.76
  4. Step 4: Simplify right side
    442,771.78x = 158,216,194,125.59
  5. Step 5: Solve for x
    x = 158,216,194,125.59/442,771.78
  6. Step 6: Final answer
    x = 357,331.25

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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.