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Finding the Fourth Proportional to 697,679, 1,046,674.50 and 254,447

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Solution

The fourth proportional to 697,679, 1,046,674.50 and 254,447 is: 381,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,679 : 1,046,674.50 = 254,447 : x
  2. Step 2: Convert to fraction form
    697,679/1,046,674.50 = 254,447/x
  3. Step 3: Cross multiply
    697,679x = 1,046,674.50 × 254,447
  4. Step 4: Simplify right side
    697,679x = 266,323,186,501.50
  5. Step 5: Solve for x
    x = 266,323,186,501.50/697,679
  6. Step 6: Final answer
    x = 381,727.39

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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.