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Finding the Fourth Proportional to 288,123.54, 397,638.12 and 160,810.98

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Solution

The fourth proportional to 288,123.54, 397,638.12 and 160,810.98 is: 221,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,123.54 : 397,638.12 = 160,810.98 : x
  2. Step 2: Convert to fraction form
    288,123.54/397,638.12 = 160,810.98/x
  3. Step 3: Cross multiply
    288,123.54x = 397,638.12 × 160,810.98
  4. Step 4: Simplify right side
    288,123.54x = 63,944,575,762.56
  5. Step 5: Solve for x
    x = 63,944,575,762.56/288,123.54
  6. Step 6: Final answer
    x = 221,934.58

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1.5x scale

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.