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Finding the Fourth Proportional to 430,018.62, 645,205.62 and 216,672.50

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Solution

The fourth proportional to 430,018.62, 645,205.62 and 216,672.50 is: 325,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,018.62 : 645,205.62 = 216,672.50 : x
  2. Step 2: Convert to fraction form
    430,018.62/645,205.62 = 216,672.50/x
  3. Step 3: Cross multiply
    430,018.62x = 645,205.62 × 216,672.50
  4. Step 4: Simplify right side
    430,018.62x = 139,798,314,699.45
  5. Step 5: Solve for x
    x = 139,798,314,699.45/430,018.62
  6. Step 6: Final answer
    x = 325,098.28

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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.