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Finding the Fourth Proportional to 428,403, 642,636.84 and 144,094.38

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Solution

The fourth proportional to 428,403, 642,636.84 and 144,094.38 is: 216,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,403 : 642,636.84 = 144,094.38 : x
  2. Step 2: Convert to fraction form
    428,403/642,636.84 = 144,094.38/x
  3. Step 3: Cross multiply
    428,403x = 642,636.84 × 144,094.38
  4. Step 4: Simplify right side
    428,403x = 92,600,357,024.96
  5. Step 5: Solve for x
    x = 92,600,357,024.96/428,403
  6. Step 6: Final answer
    x = 216,152.45

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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.