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Finding the Fourth Proportional to 644,532.80, 966,952.80 and 329,038.40

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Solution

The fourth proportional to 644,532.80, 966,952.80 and 329,038.40 is: 493,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,532.80 : 966,952.80 = 329,038.40 : x
  2. Step 2: Convert to fraction form
    644,532.80/966,952.80 = 329,038.40/x
  3. Step 3: Cross multiply
    644,532.80x = 966,952.80 × 329,038.40
  4. Step 4: Simplify right side
    644,532.80x = 318,164,602,187.52
  5. Step 5: Solve for x
    x = 318,164,602,187.52/644,532.80
  6. Step 6: Final answer
    x = 493,636.01

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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.