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Finding the Fourth Proportional to 659,533.34, 989,371.71 and 210,148.58

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Solution

The fourth proportional to 659,533.34, 989,371.71 and 210,148.58 is: 315,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,533.34 : 989,371.71 = 210,148.58 : x
  2. Step 2: Convert to fraction form
    659,533.34/989,371.71 = 210,148.58/x
  3. Step 3: Cross multiply
    659,533.34x = 989,371.71 × 210,148.58
  4. Step 4: Simplify right side
    659,533.34x = 207,915,062,422.10
  5. Step 5: Solve for x
    x = 207,915,062,422.10/659,533.34
  6. Step 6: Final answer
    x = 315,245.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.