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Finding the Fourth Proportional to 340,894.69, 470,158.62 and 299,970.46

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Solution

The fourth proportional to 340,894.69, 470,158.62 and 299,970.46 is: 413,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,894.69 : 470,158.62 = 299,970.46 : x
  2. Step 2: Convert to fraction form
    340,894.69/470,158.62 = 299,970.46/x
  3. Step 3: Cross multiply
    340,894.69x = 470,158.62 × 299,970.46
  4. Step 4: Simplify right side
    340,894.69x = 141,033,697,514.37
  5. Step 5: Solve for x
    x = 141,033,697,514.37/340,894.69
  6. Step 6: Final answer
    x = 413,716.32

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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.