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Finding the Fourth Proportional to 485,830.02, 670,448.64 and 270,984

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Solution

The fourth proportional to 485,830.02, 670,448.64 and 270,984 is: 373,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,830.02 : 670,448.64 = 270,984 : x
  2. Step 2: Convert to fraction form
    485,830.02/670,448.64 = 270,984/x
  3. Step 3: Cross multiply
    485,830.02x = 670,448.64 × 270,984
  4. Step 4: Simplify right side
    485,830.02x = 181,680,854,261.76
  5. Step 5: Solve for x
    x = 181,680,854,261.76/485,830.02
  6. Step 6: Final answer
    x = 373,959.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.