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Finding the Fourth Proportional to 282,672.80, 424,009.20 and 265,176.80

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Solution

The fourth proportional to 282,672.80, 424,009.20 and 265,176.80 is: 397,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,672.80 : 424,009.20 = 265,176.80 : x
  2. Step 2: Convert to fraction form
    282,672.80/424,009.20 = 265,176.80/x
  3. Step 3: Cross multiply
    282,672.80x = 424,009.20 × 265,176.80
  4. Step 4: Simplify right side
    282,672.80x = 112,437,402,826.56
  5. Step 5: Solve for x
    x = 112,437,402,826.56/282,672.80
  6. Step 6: Final answer
    x = 397,765.20

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1.5x scale

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.