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Finding the Fourth Proportional to 340,830.41, 470,173.10 and 260,117.80

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Solution

The fourth proportional to 340,830.41, 470,173.10 and 260,117.80 is: 358,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,830.41 : 470,173.10 = 260,117.80 : x
  2. Step 2: Convert to fraction form
    340,830.41/470,173.10 = 260,117.80/x
  3. Step 3: Cross multiply
    340,830.41x = 470,173.10 × 260,117.80
  4. Step 4: Simplify right side
    340,830.41x = 122,300,392,391.18
  5. Step 5: Solve for x
    x = 122,300,392,391.18/340,830.41
  6. Step 6: Final answer
    x = 358,830.63

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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.