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Finding the Fourth Proportional to 591,309.64, 816,007 and 319,377.40

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Solution

The fourth proportional to 591,309.64, 816,007 and 319,377.40 is: 440,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,309.64 : 816,007 = 319,377.40 : x
  2. Step 2: Convert to fraction form
    591,309.64/816,007 = 319,377.40/x
  3. Step 3: Cross multiply
    591,309.64x = 816,007 × 319,377.40
  4. Step 4: Simplify right side
    591,309.64x = 260,614,194,041.80
  5. Step 5: Solve for x
    x = 260,614,194,041.80/591,309.64
  6. Step 6: Final answer
    x = 440,740.65

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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.