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Finding the Fourth Proportional to 292,514, 438,771 and 70,898

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Solution

The fourth proportional to 292,514, 438,771 and 70,898 is: 106,347

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,514 : 438,771 = 70,898 : x
  2. Step 2: Convert to fraction form
    292,514/438,771 = 70,898/x
  3. Step 3: Cross multiply
    292,514x = 438,771 × 70,898
  4. Step 4: Simplify right side
    292,514x = 31,107,986,358
  5. Step 5: Solve for x
    x = 31,107,986,358/292,514
  6. Step 6: Final answer
    x = 106,347

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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.