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Finding the Fourth Proportional to 895,878, 1,236,311.64 and 493,470

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Solution

The fourth proportional to 895,878, 1,236,311.64 and 493,470 is: 680,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,878 : 1,236,311.64 = 493,470 : x
  2. Step 2: Convert to fraction form
    895,878/1,236,311.64 = 493,470/x
  3. Step 3: Cross multiply
    895,878x = 1,236,311.64 × 493,470
  4. Step 4: Simplify right side
    895,878x = 610,082,704,990.80
  5. Step 5: Solve for x
    x = 610,082,704,990.80/895,878
  6. Step 6: Final answer
    x = 680,988.60

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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.