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Finding the Fourth Proportional to 496,336, 684,944 and 281,407.36

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Solution

The fourth proportional to 496,336, 684,944 and 281,407.36 is: 388,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,336 : 684,944 = 281,407.36 : x
  2. Step 2: Convert to fraction form
    496,336/684,944 = 281,407.36/x
  3. Step 3: Cross multiply
    496,336x = 684,944 × 281,407.36
  4. Step 4: Simplify right side
    496,336x = 192,748,282,787.84
  5. Step 5: Solve for x
    x = 192,748,282,787.84/496,336
  6. Step 6: Final answer
    x = 388,342.34

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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.