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Finding the Fourth Proportional to 617,486, 852,130.68 and 334,862

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Solution

The fourth proportional to 617,486, 852,130.68 and 334,862 is: 462,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,486 : 852,130.68 = 334,862 : x
  2. Step 2: Convert to fraction form
    617,486/852,130.68 = 334,862/x
  3. Step 3: Cross multiply
    617,486x = 852,130.68 × 334,862
  4. Step 4: Simplify right side
    617,486x = 285,346,183,766.16
  5. Step 5: Solve for x
    x = 285,346,183,766.16/617,486
  6. Step 6: Final answer
    x = 462,109.56

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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.