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Finding the Fourth Proportional to 1,214,618, 1,676,172.96 and 678,074

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Solution

The fourth proportional to 1,214,618, 1,676,172.96 and 678,074 is: 935,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,618 : 1,676,172.96 = 678,074 : x
  2. Step 2: Convert to fraction form
    1,214,618/1,676,172.96 = 678,074/x
  3. Step 3: Cross multiply
    1,214,618x = 1,676,172.96 × 678,074
  4. Step 4: Simplify right side
    1,214,618x = 1,136,569,303,679.04
  5. Step 5: Solve for x
    x = 1,136,569,303,679.04/1,214,618
  6. Step 6: Final answer
    x = 935,742.19

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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.