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Finding the Fourth Proportional to 276,421.63, 414,586.20 and 76,762.20

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Solution

The fourth proportional to 276,421.63, 414,586.20 and 76,762.20 is: 115,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,421.63 : 414,586.20 = 76,762.20 : x
  2. Step 2: Convert to fraction form
    276,421.63/414,586.20 = 76,762.20/x
  3. Step 3: Cross multiply
    276,421.63x = 414,586.20 × 76,762.20
  4. Step 4: Simplify right side
    276,421.63x = 31,824,547,880.36
  5. Step 5: Solve for x
    x = 31,824,547,880.36/276,421.63
  6. Step 6: Final answer
    x = 115,130.45

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1.5x scale

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.