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Finding the Fourth Proportional to 558,533.34, 838,220.94 and 409,155.84

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Solution

The fourth proportional to 558,533.34, 838,220.94 and 409,155.84 is: 614,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,533.34 : 838,220.94 = 409,155.84 : x
  2. Step 2: Convert to fraction form
    558,533.34/838,220.94 = 409,155.84/x
  3. Step 3: Cross multiply
    558,533.34x = 838,220.94 × 409,155.84
  4. Step 4: Simplify right side
    558,533.34x = 342,962,992,811.29
  5. Step 5: Solve for x
    x = 342,962,992,811.29/558,533.34
  6. Step 6: Final answer
    x = 614,042.11

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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.