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Finding the Fourth Proportional to 328,897, 493,423.50 and 107,281

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Solution

The fourth proportional to 328,897, 493,423.50 and 107,281 is: 160,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,897 : 493,423.50 = 107,281 : x
  2. Step 2: Convert to fraction form
    328,897/493,423.50 = 107,281/x
  3. Step 3: Cross multiply
    328,897x = 493,423.50 × 107,281
  4. Step 4: Simplify right side
    328,897x = 52,934,966,503.50
  5. Step 5: Solve for x
    x = 52,934,966,503.50/328,897
  6. Step 6: Final answer
    x = 160,946.94

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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.