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Finding the Fourth Proportional to 464,130, 640,499.40 and 262,926

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Solution

The fourth proportional to 464,130, 640,499.40 and 262,926 is: 362,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,130 : 640,499.40 = 262,926 : x
  2. Step 2: Convert to fraction form
    464,130/640,499.40 = 262,926/x
  3. Step 3: Cross multiply
    464,130x = 640,499.40 × 262,926
  4. Step 4: Simplify right side
    464,130x = 168,403,945,244.40
  5. Step 5: Solve for x
    x = 168,403,945,244.40/464,130
  6. Step 6: Final answer
    x = 362,837.88

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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.