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Finding the Fourth Proportional to 434,199.78, 652,297.86 and 306,410.40

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Solution

The fourth proportional to 434,199.78, 652,297.86 and 306,410.40 is: 460,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,199.78 : 652,297.86 = 306,410.40 : x
  2. Step 2: Convert to fraction form
    434,199.78/652,297.86 = 306,410.40/x
  3. Step 3: Cross multiply
    434,199.78x = 652,297.86 × 306,410.40
  4. Step 4: Simplify right side
    434,199.78x = 199,870,848,201.74
  5. Step 5: Solve for x
    x = 199,870,848,201.74/434,199.78
  6. Step 6: Final answer
    x = 460,320.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.