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Finding the Fourth Proportional to 538,590.78, 742,981.95 and 411,044.94

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Solution

The fourth proportional to 538,590.78, 742,981.95 and 411,044.94 is: 567,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,590.78 : 742,981.95 = 411,044.94 : x
  2. Step 2: Convert to fraction form
    538,590.78/742,981.95 = 411,044.94/x
  3. Step 3: Cross multiply
    538,590.78x = 742,981.95 × 411,044.94
  4. Step 4: Simplify right side
    538,590.78x = 305,398,971,058.83
  5. Step 5: Solve for x
    x = 305,398,971,058.83/538,590.78
  6. Step 6: Final answer
    x = 567,033.42

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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.