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Finding the Fourth Proportional to 669,038.94, 1,003,347 and 219,685.77

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Solution

The fourth proportional to 669,038.94, 1,003,347 and 219,685.77 is: 329,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,038.94 : 1,003,347 = 219,685.77 : x
  2. Step 2: Convert to fraction form
    669,038.94/1,003,347 = 219,685.77/x
  3. Step 3: Cross multiply
    669,038.94x = 1,003,347 × 219,685.77
  4. Step 4: Simplify right side
    669,038.94x = 220,421,058,272.19
  5. Step 5: Solve for x
    x = 220,421,058,272.19/669,038.94
  6. Step 6: Final answer
    x = 329,459.24

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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.