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Finding the Fourth Proportional to 290,410,020.80, 435,615,031.20 and 290,410,020.80

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Solution

The fourth proportional to 290,410,020.80, 435,615,031.20 and 290,410,020.80 is: 435,615,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,410,020.80 : 435,615,031.20 = 290,410,020.80 : x
  2. Step 2: Convert to fraction form
    290,410,020.80/435,615,031.20 = 290,410,020.80/x
  3. Step 3: Cross multiply
    290,410,020.80x = 435,615,031.20 × 290,410,020.80
  4. Step 4: Simplify right side
    290,410,020.80x = 126,506,970,271,584,656
  5. Step 5: Solve for x
    x = 126,506,970,271,584,656/290,410,020.80
  6. Step 6: Final answer
    x = 435,615,031.20

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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.