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Finding the Fourth Proportional to 480,048.30, 720,072.45 and 301,977.90

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Solution

The fourth proportional to 480,048.30, 720,072.45 and 301,977.90 is: 452,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,048.30 : 720,072.45 = 301,977.90 : x
  2. Step 2: Convert to fraction form
    480,048.30/720,072.45 = 301,977.90/x
  3. Step 3: Cross multiply
    480,048.30x = 720,072.45 × 301,977.90
  4. Step 4: Simplify right side
    480,048.30x = 217,445,966,298.86
  5. Step 5: Solve for x
    x = 217,445,966,298.86/480,048.30
  6. Step 6: Final answer
    x = 452,966.85

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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.