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Finding the Fourth Proportional to 565,455.21, 780,307.47 and 310,804.17

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Solution

The fourth proportional to 565,455.21, 780,307.47 and 310,804.17 is: 428,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,455.21 : 780,307.47 = 310,804.17 : x
  2. Step 2: Convert to fraction form
    565,455.21/780,307.47 = 310,804.17/x
  3. Step 3: Cross multiply
    565,455.21x = 780,307.47 × 310,804.17
  4. Step 4: Simplify right side
    565,455.21x = 242,522,815,558.15
  5. Step 5: Solve for x
    x = 242,522,815,558.15/565,455.21
  6. Step 6: Final answer
    x = 428,898.37

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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.