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Finding the Fourth Proportional to 656,283, 905,671.18 and 354,477

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Solution

The fourth proportional to 656,283, 905,671.18 and 354,477 is: 489,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,283 : 905,671.18 = 354,477 : x
  2. Step 2: Convert to fraction form
    656,283/905,671.18 = 354,477/x
  3. Step 3: Cross multiply
    656,283x = 905,671.18 × 354,477
  4. Step 4: Simplify right side
    656,283x = 321,039,602,872.86
  5. Step 5: Solve for x
    x = 321,039,602,872.86/656,283
  6. Step 6: Final answer
    x = 489,178.61

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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.