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Finding the Fourth Proportional to 508,908.40, 762,709.80 and 284,268.40

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Solution

The fourth proportional to 508,908.40, 762,709.80 and 284,268.40 is: 426,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,908.40 : 762,709.80 = 284,268.40 : x
  2. Step 2: Convert to fraction form
    508,908.40/762,709.80 = 284,268.40/x
  3. Step 3: Cross multiply
    508,908.40x = 762,709.80 × 284,268.40
  4. Step 4: Simplify right side
    508,908.40x = 216,814,294,510.32
  5. Step 5: Solve for x
    x = 216,814,294,510.32/508,908.40
  6. Step 6: Final answer
    x = 426,037.96

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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.