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Finding the Fourth Proportional to 762,309, 1,143,463.50 and 319,077

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Solution

The fourth proportional to 762,309, 1,143,463.50 and 319,077 is: 478,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,309 : 1,143,463.50 = 319,077 : x
  2. Step 2: Convert to fraction form
    762,309/1,143,463.50 = 319,077/x
  3. Step 3: Cross multiply
    762,309x = 1,143,463.50 × 319,077
  4. Step 4: Simplify right side
    762,309x = 364,852,903,189.50
  5. Step 5: Solve for x
    x = 364,852,903,189.50/762,309
  6. Step 6: Final answer
    x = 478,615.50

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1.5x scale

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.