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Finding the Fourth Proportional to 683,312.64, 942,978.50 and 377,396.70

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Solution

The fourth proportional to 683,312.64, 942,978.50 and 377,396.70 is: 520,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,312.64 : 942,978.50 = 377,396.70 : x
  2. Step 2: Convert to fraction form
    683,312.64/942,978.50 = 377,396.70/x
  3. Step 3: Cross multiply
    683,312.64x = 942,978.50 × 377,396.70
  4. Step 4: Simplify right side
    683,312.64x = 355,876,974,070.95
  5. Step 5: Solve for x
    x = 355,876,974,070.95/683,312.64
  6. Step 6: Final answer
    x = 520,811.34

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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.