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Finding the Fourth Proportional to 591,374.59, 816,097.23 and 319,442.47

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Solution

The fourth proportional to 591,374.59, 816,097.23 and 319,442.47 is: 440,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,374.59 : 816,097.23 = 319,442.47 : x
  2. Step 2: Convert to fraction form
    591,374.59/816,097.23 = 319,442.47/x
  3. Step 3: Cross multiply
    591,374.59x = 816,097.23 × 319,442.47
  4. Step 4: Simplify right side
    591,374.59x = 260,696,112,871.12
  5. Step 5: Solve for x
    x = 260,696,112,871.12/591,374.59
  6. Step 6: Final answer
    x = 440,830.77

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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.