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Finding the Fourth Proportional to 438,058.35, 657,692.64 and 302,789.21

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Solution

The fourth proportional to 438,058.35, 657,692.64 and 302,789.21 is: 454,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,058.35 : 657,692.64 = 302,789.21 : x
  2. Step 2: Convert to fraction form
    438,058.35/657,692.64 = 302,789.21/x
  3. Step 3: Cross multiply
    438,058.35x = 657,692.64 × 302,789.21
  4. Step 4: Simplify right side
    438,058.35x = 199,142,231,599.95
  5. Step 5: Solve for x
    x = 199,142,231,599.95/438,058.35
  6. Step 6: Final answer
    x = 454,602.07

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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.