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Finding the Fourth Proportional to 413,078.78, 570,412.22 and 258,295.34

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Solution

The fourth proportional to 413,078.78, 570,412.22 and 258,295.34 is: 356,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,078.78 : 570,412.22 = 258,295.34 : x
  2. Step 2: Convert to fraction form
    413,078.78/570,412.22 = 258,295.34/x
  3. Step 3: Cross multiply
    413,078.78x = 570,412.22 × 258,295.34
  4. Step 4: Simplify right side
    413,078.78x = 147,334,818,305.06
  5. Step 5: Solve for x
    x = 147,334,818,305.06/413,078.78
  6. Step 6: Final answer
    x = 356,674.87

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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.