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Finding the Fourth Proportional to 565,154.32, 779,873.64 and 310,516.24

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Solution

The fourth proportional to 565,154.32, 779,873.64 and 310,516.24 is: 428,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,154.32 : 779,873.64 = 310,516.24 : x
  2. Step 2: Convert to fraction form
    565,154.32/779,873.64 = 310,516.24/x
  3. Step 3: Cross multiply
    565,154.32x = 779,873.64 × 310,516.24
  4. Step 4: Simplify right side
    565,154.32x = 242,163,430,367.91
  5. Step 5: Solve for x
    x = 242,163,430,367.91/565,154.32
  6. Step 6: Final answer
    x = 428,490.81

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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.