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Finding the Fourth Proportional to 297,907, 411,462.66 and 197,130.04

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Solution

The fourth proportional to 297,907, 411,462.66 and 197,130.04 is: 272,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,907 : 411,462.66 = 197,130.04 : x
  2. Step 2: Convert to fraction form
    297,907/411,462.66 = 197,130.04/x
  3. Step 3: Cross multiply
    297,907x = 411,462.66 × 197,130.04
  4. Step 4: Simplify right side
    297,907x = 81,111,650,624.31
  5. Step 5: Solve for x
    x = 81,111,650,624.31/297,907
  6. Step 6: Final answer
    x = 272,271.72

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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.