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Finding the Fourth Proportional to 273,000.76, 409,533.95 and 258,070.84

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Solution

The fourth proportional to 273,000.76, 409,533.95 and 258,070.84 is: 387,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,000.76 : 409,533.95 = 258,070.84 : x
  2. Step 2: Convert to fraction form
    273,000.76/409,533.95 = 258,070.84/x
  3. Step 3: Cross multiply
    273,000.76x = 409,533.95 × 258,070.84
  4. Step 4: Simplify right side
    273,000.76x = 105,688,770,485.02
  5. Step 5: Solve for x
    x = 105,688,770,485.02/273,000.76
  6. Step 6: Final answer
    x = 387,137.28

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1.5x scale

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.