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Finding the Fourth Proportional to 369,671.47, 509,952.70 and 321,164.41

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Solution

The fourth proportional to 369,671.47, 509,952.70 and 321,164.41 is: 443,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,671.47 : 509,952.70 = 321,164.41 : x
  2. Step 2: Convert to fraction form
    369,671.47/509,952.70 = 321,164.41/x
  3. Step 3: Cross multiply
    369,671.47x = 509,952.70 × 321,164.41
  4. Step 4: Simplify right side
    369,671.47x = 163,778,657,692.47
  5. Step 5: Solve for x
    x = 163,778,657,692.47/369,671.47
  6. Step 6: Final answer
    x = 443,038.40

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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.