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Finding the Fourth Proportional to 383,242.92, 528,875.72 and 208,812.30

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Solution

The fourth proportional to 383,242.92, 528,875.72 and 208,812.30 is: 288,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,242.92 : 528,875.72 = 208,812.30 : x
  2. Step 2: Convert to fraction form
    383,242.92/528,875.72 = 208,812.30/x
  3. Step 3: Cross multiply
    383,242.92x = 528,875.72 × 208,812.30
  4. Step 4: Simplify right side
    383,242.92x = 110,435,754,437.63
  5. Step 5: Solve for x
    x = 110,435,754,437.63/383,242.92
  6. Step 6: Final answer
    x = 288,161.24

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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.