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Finding the Fourth Proportional to 408,038.24, 612,155.76 and 141,760

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Solution

The fourth proportional to 408,038.24, 612,155.76 and 141,760 is: 212,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,038.24 : 612,155.76 = 141,760 : x
  2. Step 2: Convert to fraction form
    408,038.24/612,155.76 = 141,760/x
  3. Step 3: Cross multiply
    408,038.24x = 612,155.76 × 141,760
  4. Step 4: Simplify right side
    408,038.24x = 86,779,200,537.60
  5. Step 5: Solve for x
    x = 86,779,200,537.60/408,038.24
  6. Step 6: Final answer
    x = 212,674.19

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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.