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Finding the Fourth Proportional to 342,075.20, 513,404.40 and 152,826.80

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Solution

The fourth proportional to 342,075.20, 513,404.40 and 152,826.80 is: 229,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,075.20 : 513,404.40 = 152,826.80 : x
  2. Step 2: Convert to fraction form
    342,075.20/513,404.40 = 152,826.80/x
  3. Step 3: Cross multiply
    342,075.20x = 513,404.40 × 152,826.80
  4. Step 4: Simplify right side
    342,075.20x = 78,461,951,557.92
  5. Step 5: Solve for x
    x = 78,461,951,557.92/342,075.20
  6. Step 6: Final answer
    x = 229,370.48

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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.