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Finding the Fourth Proportional to 302,415.78, 417,339.48 and 166,448.77

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Solution

The fourth proportional to 302,415.78, 417,339.48 and 166,448.77 is: 229,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,415.78 : 417,339.48 = 166,448.77 : x
  2. Step 2: Convert to fraction form
    302,415.78/417,339.48 = 166,448.77/x
  3. Step 3: Cross multiply
    302,415.78x = 417,339.48 × 166,448.77
  4. Step 4: Simplify right side
    302,415.78x = 69,465,643,118.44
  5. Step 5: Solve for x
    x = 69,465,643,118.44/302,415.78
  6. Step 6: Final answer
    x = 229,702.44

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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.