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Finding the Fourth Proportional to 565,097.85, 779,835.30 and 310,465.44

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Solution

The fourth proportional to 565,097.85, 779,835.30 and 310,465.44 is: 428,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,097.85 : 779,835.30 = 310,465.44 : x
  2. Step 2: Convert to fraction form
    565,097.85/779,835.30 = 310,465.44/x
  3. Step 3: Cross multiply
    565,097.85x = 779,835.30 × 310,465.44
  4. Step 4: Simplify right side
    565,097.85x = 242,111,909,542.03
  5. Step 5: Solve for x
    x = 242,111,909,542.03/565,097.85
  6. Step 6: Final answer
    x = 428,442.45

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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.