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Finding the Fourth Proportional to 565,256.86, 780,045.45 and 310,602.58

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Solution

The fourth proportional to 565,256.86, 780,045.45 and 310,602.58 is: 428,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,256.86 : 780,045.45 = 310,602.58 : x
  2. Step 2: Convert to fraction form
    565,256.86/780,045.45 = 310,602.58/x
  3. Step 3: Cross multiply
    565,256.86x = 780,045.45 × 310,602.58
  4. Step 4: Simplify right side
    565,256.86x = 242,284,129,287.26
  5. Step 5: Solve for x
    x = 242,284,129,287.26/565,256.86
  6. Step 6: Final answer
    x = 428,626.61

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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.