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Finding the Fourth Proportional to 434,389.54, 599,102.14 and 305,753.84

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Solution

The fourth proportional to 434,389.54, 599,102.14 and 305,753.84 is: 421,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,389.54 : 599,102.14 = 305,753.84 : x
  2. Step 2: Convert to fraction form
    434,389.54/599,102.14 = 305,753.84/x
  3. Step 3: Cross multiply
    434,389.54x = 599,102.14 × 305,753.84
  4. Step 4: Simplify right side
    434,389.54x = 183,177,779,857.22
  5. Step 5: Solve for x
    x = 183,177,779,857.22/434,389.54
  6. Step 6: Final answer
    x = 421,690.13

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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.