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Finding the Fourth Proportional to 450,297, 621,443.52 and 256,709.34

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Solution

The fourth proportional to 450,297, 621,443.52 and 256,709.34 is: 354,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,297 : 621,443.52 = 256,709.34 : x
  2. Step 2: Convert to fraction form
    450,297/621,443.52 = 256,709.34/x
  3. Step 3: Cross multiply
    450,297x = 621,443.52 × 256,709.34
  4. Step 4: Simplify right side
    450,297x = 159,530,355,866.48
  5. Step 5: Solve for x
    x = 159,530,355,866.48/450,297
  6. Step 6: Final answer
    x = 354,278.08

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1.5x scale

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.