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Finding the Fourth Proportional to 500,533.20, 690,570.44 and 306,869.20

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Solution

The fourth proportional to 500,533.20, 690,570.44 and 306,869.20 is: 423,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,533.20 : 690,570.44 = 306,869.20 : x
  2. Step 2: Convert to fraction form
    500,533.20/690,570.44 = 306,869.20/x
  3. Step 3: Cross multiply
    500,533.20x = 690,570.44 × 306,869.20
  4. Step 4: Simplify right side
    500,533.20x = 211,914,798,466.45
  5. Step 5: Solve for x
    x = 211,914,798,466.45/500,533.20
  6. Step 6: Final answer
    x = 423,378.11

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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.