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Finding the Fourth Proportional to 376,393.16, 564,514.54 and 139,680.47

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Solution

The fourth proportional to 376,393.16, 564,514.54 and 139,680.47 is: 209,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,393.16 : 564,514.54 = 139,680.47 : x
  2. Step 2: Convert to fraction form
    376,393.16/564,514.54 = 139,680.47/x
  3. Step 3: Cross multiply
    376,393.16x = 564,514.54 × 139,680.47
  4. Step 4: Simplify right side
    376,393.16x = 78,851,657,331.12
  5. Step 5: Solve for x
    x = 78,851,657,331.12/376,393.16
  6. Step 6: Final answer
    x = 209,492.80

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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.