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Finding the Fourth Proportional to 290,038.42, 435,040.08 and 172,458.01

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Solution

The fourth proportional to 290,038.42, 435,040.08 and 172,458.01 is: 258,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,038.42 : 435,040.08 = 172,458.01 : x
  2. Step 2: Convert to fraction form
    290,038.42/435,040.08 = 172,458.01/x
  3. Step 3: Cross multiply
    290,038.42x = 435,040.08 × 172,458.01
  4. Step 4: Simplify right side
    290,038.42x = 75,026,146,467.04
  5. Step 5: Solve for x
    x = 75,026,146,467.04/290,038.42
  6. Step 6: Final answer
    x = 258,676.58

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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.