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Finding the Fourth Proportional to 288,503.20, 432,754.74 and 120,020.32

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Solution

The fourth proportional to 288,503.20, 432,754.74 and 120,020.32 is: 180,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,503.20 : 432,754.74 = 120,020.32 : x
  2. Step 2: Convert to fraction form
    288,503.20/432,754.74 = 120,020.32/x
  3. Step 3: Cross multiply
    288,503.20x = 432,754.74 × 120,020.32
  4. Step 4: Simplify right side
    288,503.20x = 51,939,362,376.32
  5. Step 5: Solve for x
    x = 51,939,362,376.32/288,503.20
  6. Step 6: Final answer
    x = 180,030.46

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1.5x scale

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.