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Finding the Fourth Proportional to 461,774.34, 637,242.36 and 257,828.40

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Solution

The fourth proportional to 461,774.34, 637,242.36 and 257,828.40 is: 355,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,774.34 : 637,242.36 = 257,828.40 : x
  2. Step 2: Convert to fraction form
    461,774.34/637,242.36 = 257,828.40/x
  3. Step 3: Cross multiply
    461,774.34x = 637,242.36 × 257,828.40
  4. Step 4: Simplify right side
    461,774.34x = 164,299,178,091.02
  5. Step 5: Solve for x
    x = 164,299,178,091.02/461,774.34
  6. Step 6: Final answer
    x = 355,799.71

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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.