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Finding the Fourth Proportional to 488,571.80, 732,857.70 and 208,117.40

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Solution

The fourth proportional to 488,571.80, 732,857.70 and 208,117.40 is: 312,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,571.80 : 732,857.70 = 208,117.40 : x
  2. Step 2: Convert to fraction form
    488,571.80/732,857.70 = 208,117.40/x
  3. Step 3: Cross multiply
    488,571.80x = 732,857.70 × 208,117.40
  4. Step 4: Simplify right side
    488,571.80x = 152,520,439,093.98
  5. Step 5: Solve for x
    x = 152,520,439,093.98/488,571.80
  6. Step 6: Final answer
    x = 312,176.10

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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.