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Finding the Fourth Proportional to 319,233, 478,851.90 and 141,692.28

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Solution

The fourth proportional to 319,233, 478,851.90 and 141,692.28 is: 212,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,233 : 478,851.90 = 141,692.28 : x
  2. Step 2: Convert to fraction form
    319,233/478,851.90 = 141,692.28/x
  3. Step 3: Cross multiply
    319,233x = 478,851.90 × 141,692.28
  4. Step 4: Simplify right side
    319,233x = 67,849,617,493.33
  5. Step 5: Solve for x
    x = 67,849,617,493.33/319,233
  6. Step 6: Final answer
    x = 212,539.49

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1.5x scale

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.