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Finding the Fourth Proportional to 434,200.40, 651,300.60 and 355,403.60

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Solution

The fourth proportional to 434,200.40, 651,300.60 and 355,403.60 is: 533,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,200.40 : 651,300.60 = 355,403.60 : x
  2. Step 2: Convert to fraction form
    434,200.40/651,300.60 = 355,403.60/x
  3. Step 3: Cross multiply
    434,200.40x = 651,300.60 × 355,403.60
  4. Step 4: Simplify right side
    434,200.40x = 231,474,577,922.16
  5. Step 5: Solve for x
    x = 231,474,577,922.16/434,200.40
  6. Step 6: Final answer
    x = 533,105.40

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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.