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Finding the Fourth Proportional to 380,289.78, 569,614.66 and 357,931.96

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Solution

The fourth proportional to 380,289.78, 569,614.66 and 357,931.96 is: 536,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,289.78 : 569,614.66 = 357,931.96 : x
  2. Step 2: Convert to fraction form
    380,289.78/569,614.66 = 357,931.96/x
  3. Step 3: Cross multiply
    380,289.78x = 569,614.66 × 357,931.96
  4. Step 4: Simplify right side
    380,289.78x = 203,883,291,698.53
  5. Step 5: Solve for x
    x = 203,883,291,698.53/380,289.78
  6. Step 6: Final answer
    x = 536,126.14

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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.