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Finding the Fourth Proportional to 565,147.32, 779,863.98 and 310,509.24

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Solution

The fourth proportional to 565,147.32, 779,863.98 and 310,509.24 is: 428,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,147.32 : 779,863.98 = 310,509.24 : x
  2. Step 2: Convert to fraction form
    565,147.32/779,863.98 = 310,509.24/x
  3. Step 3: Cross multiply
    565,147.32x = 779,863.98 × 310,509.24
  4. Step 4: Simplify right side
    565,147.32x = 242,154,971,733.18
  5. Step 5: Solve for x
    x = 242,154,971,733.18/565,147.32
  6. Step 6: Final answer
    x = 428,481.15

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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.