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Finding the Fourth Proportional to 340,286,788.80, 511,046,042.40 and 297,960,465.60

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Solution

The fourth proportional to 340,286,788.80, 511,046,042.40 and 297,960,465.60 is: 447,479,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,286,788.80 : 511,046,042.40 = 297,960,465.60 : x
  2. Step 2: Convert to fraction form
    340,286,788.80/511,046,042.40 = 297,960,465.60/x
  3. Step 3: Cross multiply
    340,286,788.80x = 511,046,042.40 × 297,960,465.60
  4. Step 4: Simplify right side
    340,286,788.80x = 152,271,516,736,541,344
  5. Step 5: Solve for x
    x = 152,271,516,736,541,344/340,286,788.80
  6. Step 6: Final answer
    x = 447,479,954.40

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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.