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Finding the Fourth Proportional to 340,036, 509,943.72 and 112,280.40

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Solution

The fourth proportional to 340,036, 509,943.72 and 112,280.40 is: 168,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,036 : 509,943.72 = 112,280.40 : x
  2. Step 2: Convert to fraction form
    340,036/509,943.72 = 112,280.40/x
  3. Step 3: Cross multiply
    340,036x = 509,943.72 × 112,280.40
  4. Step 4: Simplify right side
    340,036x = 57,256,684,859.09
  5. Step 5: Solve for x
    x = 57,256,684,859.09/340,036
  6. Step 6: Final answer
    x = 168,384.19

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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.