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Finding the Fourth Proportional to 508,459.42, 762,390.08 and 192,938.50

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Solution

The fourth proportional to 508,459.42, 762,390.08 and 192,938.50 is: 289,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,459.42 : 762,390.08 = 192,938.50 : x
  2. Step 2: Convert to fraction form
    508,459.42/762,390.08 = 192,938.50/x
  3. Step 3: Cross multiply
    508,459.42x = 762,390.08 × 192,938.50
  4. Step 4: Simplify right side
    508,459.42x = 147,094,398,450.08
  5. Step 5: Solve for x
    x = 147,094,398,450.08/508,459.42
  6. Step 6: Final answer
    x = 289,294.27

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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.