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Finding the Fourth Proportional to 584,719.50, 806,913 and 316,447.50

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Solution

The fourth proportional to 584,719.50, 806,913 and 316,447.50 is: 436,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,719.50 : 806,913 = 316,447.50 : x
  2. Step 2: Convert to fraction form
    584,719.50/806,913 = 316,447.50/x
  3. Step 3: Cross multiply
    584,719.50x = 806,913 × 316,447.50
  4. Step 4: Simplify right side
    584,719.50x = 255,345,601,567.50
  5. Step 5: Solve for x
    x = 255,345,601,567.50/584,719.50
  6. Step 6: Final answer
    x = 436,697.60

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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.