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Finding the Fourth Proportional to 408,779.60, 613,266.60 and 172,000.40

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Solution

The fourth proportional to 408,779.60, 613,266.60 and 172,000.40 is: 258,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,779.60 : 613,266.60 = 172,000.40 : x
  2. Step 2: Convert to fraction form
    408,779.60/613,266.60 = 172,000.40/x
  3. Step 3: Cross multiply
    408,779.60x = 613,266.60 × 172,000.40
  4. Step 4: Simplify right side
    408,779.60x = 105,482,100,506.64
  5. Step 5: Solve for x
    x = 105,482,100,506.64/408,779.60
  6. Step 6: Final answer
    x = 258,041.50

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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.