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Finding the Fourth Proportional to 579,929.40, 869,894.10 and 411,967.80

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Solution

The fourth proportional to 579,929.40, 869,894.10 and 411,967.80 is: 617,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,929.40 : 869,894.10 = 411,967.80 : x
  2. Step 2: Convert to fraction form
    579,929.40/869,894.10 = 411,967.80/x
  3. Step 3: Cross multiply
    579,929.40x = 869,894.10 × 411,967.80
  4. Step 4: Simplify right side
    579,929.40x = 358,368,358,609.98
  5. Step 5: Solve for x
    x = 358,368,358,609.98/579,929.40
  6. Step 6: Final answer
    x = 617,951.70

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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.