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Finding the Fourth Proportional to 430,124.63, 645,264.90 and 177,264.50

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Solution

The fourth proportional to 430,124.63, 645,264.90 and 177,264.50 is: 265,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,124.63 : 645,264.90 = 177,264.50 : x
  2. Step 2: Convert to fraction form
    430,124.63/645,264.90 = 177,264.50/x
  3. Step 3: Cross multiply
    430,124.63x = 645,264.90 × 177,264.50
  4. Step 4: Simplify right side
    430,124.63x = 114,382,556,639.73
  5. Step 5: Solve for x
    x = 114,382,556,639.73/430,124.63
  6. Step 6: Final answer
    x = 265,928.87

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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.