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Finding the Fourth Proportional to 821,803.60, 1,232,705.40 and 421,886.80

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Solution

The fourth proportional to 821,803.60, 1,232,705.40 and 421,886.80 is: 632,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,803.60 : 1,232,705.40 = 421,886.80 : x
  2. Step 2: Convert to fraction form
    821,803.60/1,232,705.40 = 421,886.80/x
  3. Step 3: Cross multiply
    821,803.60x = 1,232,705.40 × 421,886.80
  4. Step 4: Simplify right side
    821,803.60x = 520,062,136,548.72
  5. Step 5: Solve for x
    x = 520,062,136,548.72/821,803.60
  6. Step 6: Final answer
    x = 632,830.20

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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.