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Finding the Fourth Proportional to 402,639.68, 603,516.65 and 165,853.19

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Solution

The fourth proportional to 402,639.68, 603,516.65 and 165,853.19 is: 248,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,639.68 : 603,516.65 = 165,853.19 : x
  2. Step 2: Convert to fraction form
    402,639.68/603,516.65 = 165,853.19/x
  3. Step 3: Cross multiply
    402,639.68x = 603,516.65 × 165,853.19
  4. Step 4: Simplify right side
    402,639.68x = 100,095,157,773.76
  5. Step 5: Solve for x
    x = 100,095,157,773.76/402,639.68
  6. Step 6: Final answer
    x = 248,597.35

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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.