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Finding the Fourth Proportional to 1,047,218, 1,570,827 and 259,250

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Solution

The fourth proportional to 1,047,218, 1,570,827 and 259,250 is: 388,875

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,218 : 1,570,827 = 259,250 : x
  2. Step 2: Convert to fraction form
    1,047,218/1,570,827 = 259,250/x
  3. Step 3: Cross multiply
    1,047,218x = 1,570,827 × 259,250
  4. Step 4: Simplify right side
    1,047,218x = 407,236,899,750
  5. Step 5: Solve for x
    x = 407,236,899,750/1,047,218
  6. Step 6: Final answer
    x = 388,875

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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.