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Finding the Fourth Proportional to 320,038.30, 441,646.50 and 176,797

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Solution

The fourth proportional to 320,038.30, 441,646.50 and 176,797 is: 243,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,038.30 : 441,646.50 = 176,797 : x
  2. Step 2: Convert to fraction form
    320,038.30/441,646.50 = 176,797/x
  3. Step 3: Cross multiply
    320,038.30x = 441,646.50 × 176,797
  4. Step 4: Simplify right side
    320,038.30x = 78,081,776,260.50
  5. Step 5: Solve for x
    x = 78,081,776,260.50/320,038.30
  6. Step 6: Final answer
    x = 243,976.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.