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Finding the Fourth Proportional to 508,957.40, 764,019.30 and 298,713.80

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Solution

The fourth proportional to 508,957.40, 764,019.30 and 298,713.80 is: 448,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,957.40 : 764,019.30 = 298,713.80 : x
  2. Step 2: Convert to fraction form
    508,957.40/764,019.30 = 298,713.80/x
  3. Step 3: Cross multiply
    508,957.40x = 764,019.30 × 298,713.80
  4. Step 4: Simplify right side
    508,957.40x = 228,223,108,376.34
  5. Step 5: Solve for x
    x = 228,223,108,376.34/508,957.40
  6. Step 6: Final answer
    x = 448,412.99

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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.