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Finding the Fourth Proportional to 558,464, 770,722.44 and 340,653.16

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Solution

The fourth proportional to 558,464, 770,722.44 and 340,653.16 is: 470,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,464 : 770,722.44 = 340,653.16 : x
  2. Step 2: Convert to fraction form
    558,464/770,722.44 = 340,653.16/x
  3. Step 3: Cross multiply
    558,464x = 770,722.44 × 340,653.16
  4. Step 4: Simplify right side
    558,464x = 262,549,030,815.30
  5. Step 5: Solve for x
    x = 262,549,030,815.30/558,464
  6. Step 6: Final answer
    x = 470,127.05

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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.