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Finding the Fourth Proportional to 312,432,847.80, 468,649,271.70 and 261,792,425.40

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Solution

The fourth proportional to 312,432,847.80, 468,649,271.70 and 261,792,425.40 is: 392,688,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,432,847.80 : 468,649,271.70 = 261,792,425.40 : x
  2. Step 2: Convert to fraction form
    312,432,847.80/468,649,271.70 = 261,792,425.40/x
  3. Step 3: Cross multiply
    312,432,847.80x = 468,649,271.70 × 261,792,425.40
  4. Step 4: Simplify right side
    312,432,847.80x = 122,688,829,500,286,576
  5. Step 5: Solve for x
    x = 122,688,829,500,286,576/312,432,847.80
  6. Step 6: Final answer
    x = 392,688,638.10

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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.