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Finding the Fourth Proportional to 310,069.01, 465,011.08 and 120,558.78

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Solution

The fourth proportional to 310,069.01, 465,011.08 and 120,558.78 is: 180,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,069.01 : 465,011.08 = 120,558.78 : x
  2. Step 2: Convert to fraction form
    310,069.01/465,011.08 = 120,558.78/x
  3. Step 3: Cross multiply
    310,069.01x = 465,011.08 × 120,558.78
  4. Step 4: Simplify right side
    310,069.01x = 56,061,168,189.89
  5. Step 5: Solve for x
    x = 56,061,168,189.89/310,069.01
  6. Step 6: Final answer
    x = 180,802.23

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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.