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Finding the Fourth Proportional to 687,467.50, 948,711.63 and 385,667.98

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Solution

The fourth proportional to 687,467.50, 948,711.63 and 385,667.98 is: 532,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,467.50 : 948,711.63 = 385,667.98 : x
  2. Step 2: Convert to fraction form
    687,467.50/948,711.63 = 385,667.98/x
  3. Step 3: Cross multiply
    687,467.50x = 948,711.63 × 385,667.98
  4. Step 4: Simplify right side
    687,467.50x = 365,887,697,944.61
  5. Step 5: Solve for x
    x = 365,887,697,944.61/687,467.50
  6. Step 6: Final answer
    x = 532,225.45

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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.