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Finding the Fourth Proportional to 591,417.81, 816,155.82 and 319,485.60

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Solution

The fourth proportional to 591,417.81, 816,155.82 and 319,485.60 is: 440,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,417.81 : 816,155.82 = 319,485.60 : x
  2. Step 2: Convert to fraction form
    591,417.81/816,155.82 = 319,485.60/x
  3. Step 3: Cross multiply
    591,417.81x = 816,155.82 × 319,485.60
  4. Step 4: Simplify right side
    591,417.81x = 260,750,031,846.19
  5. Step 5: Solve for x
    x = 260,750,031,846.19/591,417.81
  6. Step 6: Final answer
    x = 440,889.72

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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.