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Finding the Fourth Proportional to 408,260,274.30, 612,390,411.45 and 408,260,274.30

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Solution

The fourth proportional to 408,260,274.30, 612,390,411.45 and 408,260,274.30 is: 612,390,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,260,274.30 : 612,390,411.45 = 408,260,274.30 : x
  2. Step 2: Convert to fraction form
    408,260,274.30/612,390,411.45 = 408,260,274.30/x
  3. Step 3: Cross multiply
    408,260,274.30x = 612,390,411.45 × 408,260,274.30
  4. Step 4: Simplify right side
    408,260,274.30x = 250,014,677,357,266,880
  5. Step 5: Solve for x
    x = 250,014,677,357,266,880/408,260,274.30
  6. Step 6: Final answer
    x = 612,390,411.45

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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.