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Finding the Fourth Proportional to 301,803.40, 452,705.10 and 151,985.80

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Solution

The fourth proportional to 301,803.40, 452,705.10 and 151,985.80 is: 227,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,803.40 : 452,705.10 = 151,985.80 : x
  2. Step 2: Convert to fraction form
    301,803.40/452,705.10 = 151,985.80/x
  3. Step 3: Cross multiply
    301,803.40x = 452,705.10 × 151,985.80
  4. Step 4: Simplify right side
    301,803.40x = 68,804,746,787.58
  5. Step 5: Solve for x
    x = 68,804,746,787.58/301,803.40
  6. Step 6: Final answer
    x = 227,978.70

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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.