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Finding the Fourth Proportional to 290,419.90, 435,629.85 and 172,030.30

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Solution

The fourth proportional to 290,419.90, 435,629.85 and 172,030.30 is: 258,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,419.90 : 435,629.85 = 172,030.30 : x
  2. Step 2: Convert to fraction form
    290,419.90/435,629.85 = 172,030.30/x
  3. Step 3: Cross multiply
    290,419.90x = 435,629.85 × 172,030.30
  4. Step 4: Simplify right side
    290,419.90x = 74,941,533,784.46
  5. Step 5: Solve for x
    x = 74,941,533,784.46/290,419.90
  6. Step 6: Final answer
    x = 258,045.45

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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.