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Finding the Fourth Proportional to 278,457.66, 384,271.95 and 151,133.27

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Solution

The fourth proportional to 278,457.66, 384,271.95 and 151,133.27 is: 208,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,457.66 : 384,271.95 = 151,133.27 : x
  2. Step 2: Convert to fraction form
    278,457.66/384,271.95 = 151,133.27/x
  3. Step 3: Cross multiply
    278,457.66x = 384,271.95 × 151,133.27
  4. Step 4: Simplify right side
    278,457.66x = 58,076,274,451.42
  5. Step 5: Solve for x
    x = 58,076,274,451.42/278,457.66
  6. Step 6: Final answer
    x = 208,564.11

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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.