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Finding the Fourth Proportional to 390,135.60, 584,328.60 and 320,151.60

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Solution

The fourth proportional to 390,135.60, 584,328.60 and 320,151.60 is: 479,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,135.60 : 584,328.60 = 320,151.60 : x
  2. Step 2: Convert to fraction form
    390,135.60/584,328.60 = 320,151.60/x
  3. Step 3: Cross multiply
    390,135.60x = 584,328.60 × 320,151.60
  4. Step 4: Simplify right side
    390,135.60x = 187,073,736,215.76
  5. Step 5: Solve for x
    x = 187,073,736,215.76/390,135.60
  6. Step 6: Final answer
    x = 479,509.52

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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.