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Finding the Fourth Proportional to 294,686.40, 442,685.70 and 282,730.80

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Solution

The fourth proportional to 294,686.40, 442,685.70 and 282,730.80 is: 424,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,686.40 : 442,685.70 = 282,730.80 : x
  2. Step 2: Convert to fraction form
    294,686.40/442,685.70 = 282,730.80/x
  3. Step 3: Cross multiply
    294,686.40x = 442,685.70 × 282,730.80
  4. Step 4: Simplify right side
    294,686.40x = 125,160,882,109.56
  5. Step 5: Solve for x
    x = 125,160,882,109.56/294,686.40
  6. Step 6: Final answer
    x = 424,725.68

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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.