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Finding the Fourth Proportional to 870,972, 1,306,458 and 279,996

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Solution

The fourth proportional to 870,972, 1,306,458 and 279,996 is: 419,994

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,972 : 1,306,458 = 279,996 : x
  2. Step 2: Convert to fraction form
    870,972/1,306,458 = 279,996/x
  3. Step 3: Cross multiply
    870,972x = 1,306,458 × 279,996
  4. Step 4: Simplify right side
    870,972x = 365,803,014,168
  5. Step 5: Solve for x
    x = 365,803,014,168/870,972
  6. Step 6: Final answer
    x = 419,994

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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.