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Finding the Fourth Proportional to 282,014.70, 422,800.17 and 139,762.18

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Solution

The fourth proportional to 282,014.70, 422,800.17 and 139,762.18 is: 209,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,014.70 : 422,800.17 = 139,762.18 : x
  2. Step 2: Convert to fraction form
    282,014.70/422,800.17 = 139,762.18/x
  3. Step 3: Cross multiply
    282,014.70x = 422,800.17 × 139,762.18
  4. Step 4: Simplify right side
    282,014.70x = 59,091,473,463.57
  5. Step 5: Solve for x
    x = 59,091,473,463.57/282,014.70
  6. Step 6: Final answer
    x = 209,533.31

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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.