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Finding the Fourth Proportional to 434,138.51, 598,781.69 and 380,330.11

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Solution

The fourth proportional to 434,138.51, 598,781.69 and 380,330.11 is: 524,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,138.51 : 598,781.69 = 380,330.11 : x
  2. Step 2: Convert to fraction form
    434,138.51/598,781.69 = 380,330.11/x
  3. Step 3: Cross multiply
    434,138.51x = 598,781.69 × 380,330.11
  4. Step 4: Simplify right side
    434,138.51x = 227,734,702,625.08
  5. Step 5: Solve for x
    x = 227,734,702,625.08/434,138.51
  6. Step 6: Final answer
    x = 524,566.92

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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.