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Finding the Fourth Proportional to 430,017.61, 645,204.12 and 216,671.50

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Solution

The fourth proportional to 430,017.61, 645,204.12 and 216,671.50 is: 325,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,017.61 : 645,204.12 = 216,671.50 : x
  2. Step 2: Convert to fraction form
    430,017.61/645,204.12 = 216,671.50/x
  3. Step 3: Cross multiply
    430,017.61x = 645,204.12 × 216,671.50
  4. Step 4: Simplify right side
    430,017.61x = 139,797,344,486.58
  5. Step 5: Solve for x
    x = 139,797,344,486.58/430,017.61
  6. Step 6: Final answer
    x = 325,096.79

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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.