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Finding the Fourth Proportional to 988,362, 1,482,578.64 and 278,452.08

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Solution

The fourth proportional to 988,362, 1,482,578.64 and 278,452.08 is: 417,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,362 : 1,482,578.64 = 278,452.08 : x
  2. Step 2: Convert to fraction form
    988,362/1,482,578.64 = 278,452.08/x
  3. Step 3: Cross multiply
    988,362x = 1,482,578.64 × 278,452.08
  4. Step 4: Simplify right side
    988,362x = 412,827,106,071.57
  5. Step 5: Solve for x
    x = 412,827,106,071.57/988,362
  6. Step 6: Final answer
    x = 417,688.16

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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.