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Finding the Fourth Proportional to 272,703.60, 409,055.40 and 166,415.40

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Solution

The fourth proportional to 272,703.60, 409,055.40 and 166,415.40 is: 249,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,703.60 : 409,055.40 = 166,415.40 : x
  2. Step 2: Convert to fraction form
    272,703.60/409,055.40 = 166,415.40/x
  3. Step 3: Cross multiply
    272,703.60x = 409,055.40 × 166,415.40
  4. Step 4: Simplify right side
    272,703.60x = 68,073,118,013.16
  5. Step 5: Solve for x
    x = 68,073,118,013.16/272,703.60
  6. Step 6: Final answer
    x = 249,623.10

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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.