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Finding the Fourth Proportional to 585,650, 808,197.04 and 317,378

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Solution

The fourth proportional to 585,650, 808,197.04 and 317,378 is: 437,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,650 : 808,197.04 = 317,378 : x
  2. Step 2: Convert to fraction form
    585,650/808,197.04 = 317,378/x
  3. Step 3: Cross multiply
    585,650x = 808,197.04 × 317,378
  4. Step 4: Simplify right side
    585,650x = 256,503,960,161.12
  5. Step 5: Solve for x
    x = 256,503,960,161.12/585,650
  6. Step 6: Final answer
    x = 437,981.66

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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.