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Finding the Fourth Proportional to 437,254.81, 654,400.78 and 268,881.77

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Solution

The fourth proportional to 437,254.81, 654,400.78 and 268,881.77 is: 402,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,254.81 : 654,400.78 = 268,881.77 : x
  2. Step 2: Convert to fraction form
    437,254.81/654,400.78 = 268,881.77/x
  3. Step 3: Cross multiply
    437,254.81x = 654,400.78 × 268,881.77
  4. Step 4: Simplify right side
    437,254.81x = 175,956,440,979.58
  5. Step 5: Solve for x
    x = 175,956,440,979.58/437,254.81
  6. Step 6: Final answer
    x = 402,411.68

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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.