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Finding the Fourth Proportional to 461,858.81, 637,308.95 and 257,921.06

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Solution

The fourth proportional to 461,858.81, 637,308.95 and 257,921.06 is: 355,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,858.81 : 637,308.95 = 257,921.06 : x
  2. Step 2: Convert to fraction form
    461,858.81/637,308.95 = 257,921.06/x
  3. Step 3: Cross multiply
    461,858.81x = 637,308.95 × 257,921.06
  4. Step 4: Simplify right side
    461,858.81x = 164,375,395,455.34
  5. Step 5: Solve for x
    x = 164,375,395,455.34/461,858.81
  6. Step 6: Final answer
    x = 355,899.67

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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.