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Finding the Fourth Proportional to 428,012.88, 642,017.76 and 128,492.16

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Solution

The fourth proportional to 428,012.88, 642,017.76 and 128,492.16 is: 192,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,012.88 : 642,017.76 = 128,492.16 : x
  2. Step 2: Convert to fraction form
    428,012.88/642,017.76 = 128,492.16/x
  3. Step 3: Cross multiply
    428,012.88x = 642,017.76 × 128,492.16
  4. Step 4: Simplify right side
    428,012.88x = 82,494,248,740.76
  5. Step 5: Solve for x
    x = 82,494,248,740.76/428,012.88
  6. Step 6: Final answer
    x = 192,737.77

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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.