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Finding the Fourth Proportional to 280,915.15, 387,567.94 and 159,970.67

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Solution

The fourth proportional to 280,915.15, 387,567.94 and 159,970.67 is: 220,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,915.15 : 387,567.94 = 159,970.67 : x
  2. Step 2: Convert to fraction form
    280,915.15/387,567.94 = 159,970.67/x
  3. Step 3: Cross multiply
    280,915.15x = 387,567.94 × 159,970.67
  4. Step 4: Simplify right side
    280,915.15x = 61,999,503,601.31
  5. Step 5: Solve for x
    x = 61,999,503,601.31/280,915.15
  6. Step 6: Final answer
    x = 220,705.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.