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Finding the Fourth Proportional to 384,846.40, 578,047.20 and 371,627.20

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Solution

The fourth proportional to 384,846.40, 578,047.20 and 371,627.20 is: 558,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,846.40 : 578,047.20 = 371,627.20 : x
  2. Step 2: Convert to fraction form
    384,846.40/578,047.20 = 371,627.20/x
  3. Step 3: Cross multiply
    384,846.40x = 578,047.20 × 371,627.20
  4. Step 4: Simplify right side
    384,846.40x = 214,818,062,403.84
  5. Step 5: Solve for x
    x = 214,818,062,403.84/384,846.40
  6. Step 6: Final answer
    x = 558,191.69

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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.