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Finding the Fourth Proportional to 697,392, 1,046,088 and 172,080

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Solution

The fourth proportional to 697,392, 1,046,088 and 172,080 is: 258,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,392 : 1,046,088 = 172,080 : x
  2. Step 2: Convert to fraction form
    697,392/1,046,088 = 172,080/x
  3. Step 3: Cross multiply
    697,392x = 1,046,088 × 172,080
  4. Step 4: Simplify right side
    697,392x = 180,010,823,040
  5. Step 5: Solve for x
    x = 180,010,823,040/697,392
  6. Step 6: Final answer
    x = 258,120

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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.