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Finding the Fourth Proportional to 428,415.30, 642,008.55 and 315,212.10

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Solution

The fourth proportional to 428,415.30, 642,008.55 and 315,212.10 is: 472,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,415.30 : 642,008.55 = 315,212.10 : x
  2. Step 2: Convert to fraction form
    428,415.30/642,008.55 = 315,212.10/x
  3. Step 3: Cross multiply
    428,415.30x = 642,008.55 × 315,212.10
  4. Step 4: Simplify right side
    428,415.30x = 202,368,863,263.46
  5. Step 5: Solve for x
    x = 202,368,863,263.46/428,415.30
  6. Step 6: Final answer
    x = 472,366.10

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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.