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Finding the Fourth Proportional to 495,325.50, 683,557.71 and 268,971

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Solution

The fourth proportional to 495,325.50, 683,557.71 and 268,971 is: 371,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,325.50 : 683,557.71 = 268,971 : x
  2. Step 2: Convert to fraction form
    495,325.50/683,557.71 = 268,971/x
  3. Step 3: Cross multiply
    495,325.50x = 683,557.71 × 268,971
  4. Step 4: Simplify right side
    495,325.50x = 183,857,200,816.41
  5. Step 5: Solve for x
    x = 183,857,200,816.41/495,325.50
  6. Step 6: Final answer
    x = 371,184.61

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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.