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Finding the Fourth Proportional to 320,032,978.20, 480,049,467.30 and 306,596,050.20

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Solution

The fourth proportional to 320,032,978.20, 480,049,467.30 and 306,596,050.20 is: 459,894,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,032,978.20 : 480,049,467.30 = 306,596,050.20 : x
  2. Step 2: Convert to fraction form
    320,032,978.20/480,049,467.30 = 306,596,050.20/x
  3. Step 3: Cross multiply
    320,032,978.20x = 480,049,467.30 × 306,596,050.20
  4. Step 4: Simplify right side
    320,032,978.20x = 147,181,270,574,794,048
  5. Step 5: Solve for x
    x = 147,181,270,574,794,048/320,032,978.20
  6. Step 6: Final answer
    x = 459,894,075.30

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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.