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Finding the Fourth Proportional to 565,146.32, 779,862.60 and 310,508.24

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Solution

The fourth proportional to 565,146.32, 779,862.60 and 310,508.24 is: 428,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,146.32 : 779,862.60 = 310,508.24 : x
  2. Step 2: Convert to fraction form
    565,146.32/779,862.60 = 310,508.24/x
  3. Step 3: Cross multiply
    565,146.32x = 779,862.60 × 310,508.24
  4. Step 4: Simplify right side
    565,146.32x = 242,153,763,367.82
  5. Step 5: Solve for x
    x = 242,153,763,367.82/565,146.32
  6. Step 6: Final answer
    x = 428,479.77

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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.