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Finding the Fourth Proportional to 565,670.34, 780,627.96 and 311,037.90

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Solution

The fourth proportional to 565,670.34, 780,627.96 and 311,037.90 is: 429,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,670.34 : 780,627.96 = 311,037.90 : x
  2. Step 2: Convert to fraction form
    565,670.34/780,627.96 = 311,037.90/x
  3. Step 3: Cross multiply
    565,670.34x = 780,627.96 × 311,037.90
  4. Step 4: Simplify right side
    565,670.34x = 242,804,881,359.68
  5. Step 5: Solve for x
    x = 242,804,881,359.68/565,670.34
  6. Step 6: Final answer
    x = 429,233.89

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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.