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Finding the Fourth Proportional to 262,304.72, 361,981.64 and 143,075.28

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Solution

The fourth proportional to 262,304.72, 361,981.64 and 143,075.28 is: 197,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,304.72 : 361,981.64 = 143,075.28 : x
  2. Step 2: Convert to fraction form
    262,304.72/361,981.64 = 143,075.28/x
  3. Step 3: Cross multiply
    262,304.72x = 361,981.64 × 143,075.28
  4. Step 4: Simplify right side
    262,304.72x = 51,790,624,497.86
  5. Step 5: Solve for x
    x = 51,790,624,497.86/262,304.72
  6. Step 6: Final answer
    x = 197,444.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.