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Finding the Fourth Proportional to 1,007,928, 1,511,892 and 416,952

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Solution

The fourth proportional to 1,007,928, 1,511,892 and 416,952 is: 625,428

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,928 : 1,511,892 = 416,952 : x
  2. Step 2: Convert to fraction form
    1,007,928/1,511,892 = 416,952/x
  3. Step 3: Cross multiply
    1,007,928x = 1,511,892 × 416,952
  4. Step 4: Simplify right side
    1,007,928x = 630,386,393,184
  5. Step 5: Solve for x
    x = 630,386,393,184/1,007,928
  6. Step 6: Final answer
    x = 625,428

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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.