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Finding the Fourth Proportional to 329,903.40, 495,146.70 and 282,664.20

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Solution

The fourth proportional to 329,903.40, 495,146.70 and 282,664.20 is: 424,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,903.40 : 495,146.70 = 282,664.20 : x
  2. Step 2: Convert to fraction form
    329,903.40/495,146.70 = 282,664.20/x
  3. Step 3: Cross multiply
    329,903.40x = 495,146.70 × 282,664.20
  4. Step 4: Simplify right side
    329,903.40x = 139,960,245,838.14
  5. Step 5: Solve for x
    x = 139,960,245,838.14/329,903.40
  6. Step 6: Final answer
    x = 424,246.15

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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.