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Finding the Fourth Proportional to 420,851.94, 630,862.35 and 167,980.02

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Solution

The fourth proportional to 420,851.94, 630,862.35 and 167,980.02 is: 251,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,851.94 : 630,862.35 = 167,980.02 : x
  2. Step 2: Convert to fraction form
    420,851.94/630,862.35 = 167,980.02/x
  3. Step 3: Cross multiply
    420,851.94x = 630,862.35 × 167,980.02
  4. Step 4: Simplify right side
    420,851.94x = 105,972,270,170.25
  5. Step 5: Solve for x
    x = 105,972,270,170.25/420,851.94
  6. Step 6: Final answer
    x = 251,804.16

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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.