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Finding the Fourth Proportional to 368,068, 507,928.98 and 204,723.40

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Solution

The fourth proportional to 368,068, 507,928.98 and 204,723.40 is: 282,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,068 : 507,928.98 = 204,723.40 : x
  2. Step 2: Convert to fraction form
    368,068/507,928.98 = 204,723.40/x
  3. Step 3: Cross multiply
    368,068x = 507,928.98 × 204,723.40
  4. Step 4: Simplify right side
    368,068x = 103,984,947,744.13
  5. Step 5: Solve for x
    x = 103,984,947,744.13/368,068
  6. Step 6: Final answer
    x = 282,515.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.