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Finding the Fourth Proportional to 584,166, 806,149.12 and 315,894

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Solution

The fourth proportional to 584,166, 806,149.12 and 315,894 is: 435,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,166 : 806,149.12 = 315,894 : x
  2. Step 2: Convert to fraction form
    584,166/806,149.12 = 315,894/x
  3. Step 3: Cross multiply
    584,166x = 806,149.12 × 315,894
  4. Step 4: Simplify right side
    584,166x = 254,657,670,113.28
  5. Step 5: Solve for x
    x = 254,657,670,113.28/584,166
  6. Step 6: Final answer
    x = 435,933.74

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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.