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Finding the Fourth Proportional to 298,390.79, 411,784.54 and 162,428.64

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Solution

The fourth proportional to 298,390.79, 411,784.54 and 162,428.64 is: 224,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,390.79 : 411,784.54 = 162,428.64 : x
  2. Step 2: Convert to fraction form
    298,390.79/411,784.54 = 162,428.64/x
  3. Step 3: Cross multiply
    298,390.79x = 411,784.54 × 162,428.64
  4. Step 4: Simplify right side
    298,390.79x = 66,885,604,084.91
  5. Step 5: Solve for x
    x = 66,885,604,084.91/298,390.79
  6. Step 6: Final answer
    x = 224,154.39

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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.