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Finding the Fourth Proportional to 340,722.64, 510,518.98 and 207,199

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Solution

The fourth proportional to 340,722.64, 510,518.98 and 207,199 is: 310,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,722.64 : 510,518.98 = 207,199 : x
  2. Step 2: Convert to fraction form
    340,722.64/510,518.98 = 207,199/x
  3. Step 3: Cross multiply
    340,722.64x = 510,518.98 × 207,199
  4. Step 4: Simplify right side
    340,722.64x = 105,779,022,137.02
  5. Step 5: Solve for x
    x = 105,779,022,137.02/340,722.64
  6. Step 6: Final answer
    x = 310,454.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.