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Finding the Fourth Proportional to 310,904.80, 465,701.10 and 277,662.40

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Solution

The fourth proportional to 310,904.80, 465,701.10 and 277,662.40 is: 415,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904.80 : 465,701.10 = 277,662.40 : x
  2. Step 2: Convert to fraction form
    310,904.80/465,701.10 = 277,662.40/x
  3. Step 3: Cross multiply
    310,904.80x = 465,701.10 × 277,662.40
  4. Step 4: Simplify right side
    310,904.80x = 129,307,685,108.64
  5. Step 5: Solve for x
    x = 129,307,685,108.64/310,904.80
  6. Step 6: Final answer
    x = 415,907.65

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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.