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Finding the Fourth Proportional to 838,374, 1,156,954.20 and 456,403.44

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Solution

The fourth proportional to 838,374, 1,156,954.20 and 456,403.44 is: 629,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,374 : 1,156,954.20 = 456,403.44 : x
  2. Step 2: Convert to fraction form
    838,374/1,156,954.20 = 456,403.44/x
  3. Step 3: Cross multiply
    838,374x = 1,156,954.20 × 456,403.44
  4. Step 4: Simplify right side
    838,374x = 528,037,876,802.45
  5. Step 5: Solve for x
    x = 528,037,876,802.45/838,374
  6. Step 6: Final answer
    x = 629,835.70

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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.