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Finding the Fourth Proportional to 219,037.02, 328,596.10 and 69,315

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Solution

The fourth proportional to 219,037.02, 328,596.10 and 69,315 is: 103,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,037.02 : 328,596.10 = 69,315 : x
  2. Step 2: Convert to fraction form
    219,037.02/328,596.10 = 69,315/x
  3. Step 3: Cross multiply
    219,037.02x = 328,596.10 × 69,315
  4. Step 4: Simplify right side
    219,037.02x = 22,776,638,671.50
  5. Step 5: Solve for x
    x = 22,776,638,671.50/219,037.02
  6. Step 6: Final answer
    x = 103,985.34

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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.