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Finding the Fourth Proportional to 321,016.64, 442,884 and 207,901.76

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Solution

The fourth proportional to 321,016.64, 442,884 and 207,901.76 is: 286,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,016.64 : 442,884 = 207,901.76 : x
  2. Step 2: Convert to fraction form
    321,016.64/442,884 = 207,901.76/x
  3. Step 3: Cross multiply
    321,016.64x = 442,884 × 207,901.76
  4. Step 4: Simplify right side
    321,016.64x = 92,076,363,075.84
  5. Step 5: Solve for x
    x = 92,076,363,075.84/321,016.64
  6. Step 6: Final answer
    x = 286,827.38

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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.