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Finding the Fourth Proportional to 585,132, 807,482.16 and 316,860

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Solution

The fourth proportional to 585,132, 807,482.16 and 316,860 is: 437,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,132 : 807,482.16 = 316,860 : x
  2. Step 2: Convert to fraction form
    585,132/807,482.16 = 316,860/x
  3. Step 3: Cross multiply
    585,132x = 807,482.16 × 316,860
  4. Step 4: Simplify right side
    585,132x = 255,858,797,217.60
  5. Step 5: Solve for x
    x = 255,858,797,217.60/585,132
  6. Step 6: Final answer
    x = 437,266.80

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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.