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Finding the Fourth Proportional to 683,705.80, 1,026,482.10 and 399,687.40

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Solution

The fourth proportional to 683,705.80, 1,026,482.10 and 399,687.40 is: 600,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,705.80 : 1,026,482.10 = 399,687.40 : x
  2. Step 2: Convert to fraction form
    683,705.80/1,026,482.10 = 399,687.40/x
  3. Step 3: Cross multiply
    683,705.80x = 1,026,482.10 × 399,687.40
  4. Step 4: Simplify right side
    683,705.80x = 410,271,961,695.54
  5. Step 5: Solve for x
    x = 410,271,961,695.54/683,705.80
  6. Step 6: Final answer
    x = 600,070.91

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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.