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Finding the Fourth Proportional to 607,645.80, 911,384.46 and 208,280.16

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Solution

The fourth proportional to 607,645.80, 911,384.46 and 208,280.16 is: 312,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,645.80 : 911,384.46 = 208,280.16 : x
  2. Step 2: Convert to fraction form
    607,645.80/911,384.46 = 208,280.16/x
  3. Step 3: Cross multiply
    607,645.80x = 911,384.46 × 208,280.16
  4. Step 4: Simplify right side
    607,645.80x = 189,823,301,150.31
  5. Step 5: Solve for x
    x = 189,823,301,150.31/607,645.80
  6. Step 6: Final answer
    x = 312,391.37

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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.