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Finding the Fourth Proportional to 298,011.90, 411,254.21 and 162,045.93

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Solution

The fourth proportional to 298,011.90, 411,254.21 and 162,045.93 is: 223,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,011.90 : 411,254.21 = 162,045.93 : x
  2. Step 2: Convert to fraction form
    298,011.90/411,254.21 = 162,045.93/x
  3. Step 3: Cross multiply
    298,011.90x = 411,254.21 × 162,045.93
  4. Step 4: Simplify right side
    298,011.90x = 66,642,070,115.64
  5. Step 5: Solve for x
    x = 66,642,070,115.64/298,011.90
  6. Step 6: Final answer
    x = 223,622.18

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1.5x scale

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.