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Finding the Fourth Proportional to 508,279.41, 701,430.93 and 278,837.15

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Solution

The fourth proportional to 508,279.41, 701,430.93 and 278,837.15 is: 384,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,279.41 : 701,430.93 = 278,837.15 : x
  2. Step 2: Convert to fraction form
    508,279.41/701,430.93 = 278,837.15/x
  3. Step 3: Cross multiply
    508,279.41x = 701,430.93 × 278,837.15
  4. Step 4: Simplify right side
    508,279.41x = 195,584,997,935.90
  5. Step 5: Solve for x
    x = 195,584,997,935.90/508,279.41
  6. Step 6: Final answer
    x = 384,798.19

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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.