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Finding the Fourth Proportional to 419,855.18, 630,026.63 and 176,678.31

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Solution

The fourth proportional to 419,855.18, 630,026.63 and 176,678.31 is: 265,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,855.18 : 630,026.63 = 176,678.31 : x
  2. Step 2: Convert to fraction form
    419,855.18/630,026.63 = 176,678.31/x
  3. Step 3: Cross multiply
    419,855.18x = 630,026.63 × 176,678.31
  4. Step 4: Simplify right side
    419,855.18x = 111,312,039,360.00
  5. Step 5: Solve for x
    x = 111,312,039,360.00/419,855.18
  6. Step 6: Final answer
    x = 265,120.08

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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.