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Finding the Fourth Proportional to 387,034.98, 534,106.14 and 217,269.06

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Solution

The fourth proportional to 387,034.98, 534,106.14 and 217,269.06 is: 299,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,034.98 : 534,106.14 = 217,269.06 : x
  2. Step 2: Convert to fraction form
    387,034.98/534,106.14 = 217,269.06/x
  3. Step 3: Cross multiply
    387,034.98x = 534,106.14 × 217,269.06
  4. Step 4: Simplify right side
    387,034.98x = 116,044,738,978.03
  5. Step 5: Solve for x
    x = 116,044,738,978.03/387,034.98
  6. Step 6: Final answer
    x = 299,830.11

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1.5x scale

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.