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Finding the Fourth Proportional to 434,143.40, 598,788.41 and 380,335.01

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Solution

The fourth proportional to 434,143.40, 598,788.41 and 380,335.01 is: 524,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,143.40 : 598,788.41 = 380,335.01 : x
  2. Step 2: Convert to fraction form
    434,143.40/598,788.41 = 380,335.01/x
  3. Step 3: Cross multiply
    434,143.40x = 598,788.41 × 380,335.01
  4. Step 4: Simplify right side
    434,143.40x = 227,740,191,009.62
  5. Step 5: Solve for x
    x = 227,740,191,009.62/434,143.40
  6. Step 6: Final answer
    x = 524,573.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.