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Finding the Fourth Proportional to 713,438.10, 984,533.40 and 391,150.98

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Solution

The fourth proportional to 713,438.10, 984,533.40 and 391,150.98 is: 539,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,438.10 : 984,533.40 = 391,150.98 : x
  2. Step 2: Convert to fraction form
    713,438.10/984,533.40 = 391,150.98/x
  3. Step 3: Cross multiply
    713,438.10x = 984,533.40 × 391,150.98
  4. Step 4: Simplify right side
    713,438.10x = 385,101,204,252.73
  5. Step 5: Solve for x
    x = 385,101,204,252.73/713,438.10
  6. Step 6: Final answer
    x = 539,782.22

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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.