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Finding the Fourth Proportional to 480,280.77, 720,421.16 and 180,828.54

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Solution

The fourth proportional to 480,280.77, 720,421.16 and 180,828.54 is: 271,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,280.77 : 720,421.16 = 180,828.54 : x
  2. Step 2: Convert to fraction form
    480,280.77/720,421.16 = 180,828.54/x
  3. Step 3: Cross multiply
    480,280.77x = 720,421.16 × 180,828.54
  4. Step 4: Simplify right side
    480,280.77x = 130,272,705,643.76
  5. Step 5: Solve for x
    x = 130,272,705,643.76/480,280.77
  6. Step 6: Final answer
    x = 271,242.81

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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.