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Finding the Fourth Proportional to 390,345.60, 584,643.60 and 320,361.60

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Solution

The fourth proportional to 390,345.60, 584,643.60 and 320,361.60 is: 479,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,345.60 : 584,643.60 = 320,361.60 : x
  2. Step 2: Convert to fraction form
    390,345.60/584,643.60 = 320,361.60/x
  3. Step 3: Cross multiply
    390,345.60x = 584,643.60 × 320,361.60
  4. Step 4: Simplify right side
    390,345.60x = 187,297,359,125.76
  5. Step 5: Solve for x
    x = 187,297,359,125.76/390,345.60
  6. Step 6: Final answer
    x = 479,824.44

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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.