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Finding the Fourth Proportional to 437,912.80, 657,128.40 and 288,584.80

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Solution

The fourth proportional to 437,912.80, 657,128.40 and 288,584.80 is: 433,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,912.80 : 657,128.40 = 288,584.80 : x
  2. Step 2: Convert to fraction form
    437,912.80/657,128.40 = 288,584.80/x
  3. Step 3: Cross multiply
    437,912.80x = 657,128.40 × 288,584.80
  4. Step 4: Simplify right side
    437,912.80x = 189,637,267,888.32
  5. Step 5: Solve for x
    x = 189,637,267,888.32/437,912.80
  6. Step 6: Final answer
    x = 433,048.01

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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.