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Finding the Fourth Proportional to 585,285.07, 807,796.19 and 340,345.63

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Solution

The fourth proportional to 585,285.07, 807,796.19 and 340,345.63 is: 469,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,285.07 : 807,796.19 = 340,345.63 : x
  2. Step 2: Convert to fraction form
    585,285.07/807,796.19 = 340,345.63/x
  3. Step 3: Cross multiply
    585,285.07x = 807,796.19 × 340,345.63
  4. Step 4: Simplify right side
    585,285.07x = 274,929,903,197.15
  5. Step 5: Solve for x
    x = 274,929,903,197.15/585,285.07
  6. Step 6: Final answer
    x = 469,736.74

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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.