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Finding the Fourth Proportional to 390,643.20, 584,409.60 and 338,630.40

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Solution

The fourth proportional to 390,643.20, 584,409.60 and 338,630.40 is: 506,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,643.20 : 584,409.60 = 338,630.40 : x
  2. Step 2: Convert to fraction form
    390,643.20/584,409.60 = 338,630.40/x
  3. Step 3: Cross multiply
    390,643.20x = 584,409.60 × 338,630.40
  4. Step 4: Simplify right side
    390,643.20x = 197,898,856,611.84
  5. Step 5: Solve for x
    x = 197,898,856,611.84/390,643.20
  6. Step 6: Final answer
    x = 506,597.47

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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.