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Finding the Fourth Proportional to 864,624, 1,296,941.76 and 273,648

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Solution

The fourth proportional to 864,624, 1,296,941.76 and 273,648 is: 410,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,624 : 1,296,941.76 = 273,648 : x
  2. Step 2: Convert to fraction form
    864,624/1,296,941.76 = 273,648/x
  3. Step 3: Cross multiply
    864,624x = 1,296,941.76 × 273,648
  4. Step 4: Simplify right side
    864,624x = 354,905,518,740.48
  5. Step 5: Solve for x
    x = 354,905,518,740.48/864,624
  6. Step 6: Final answer
    x = 410,473.82

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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.