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Finding the Fourth Proportional to 390,043.20, 584,627.40 and 200,430.30

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Solution

The fourth proportional to 390,043.20, 584,627.40 and 200,430.30 is: 300,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,043.20 : 584,627.40 = 200,430.30 : x
  2. Step 2: Convert to fraction form
    390,043.20/584,627.40 = 200,430.30/x
  3. Step 3: Cross multiply
    390,043.20x = 584,627.40 × 200,430.30
  4. Step 4: Simplify right side
    390,043.20x = 117,177,045,170.22
  5. Step 5: Solve for x
    x = 117,177,045,170.22/390,043.20
  6. Step 6: Final answer
    x = 300,420.68

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1.5x scale

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.