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Finding the Fourth Proportional to 303,970.10, 455,962.95 and 144,008.57

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Solution

The fourth proportional to 303,970.10, 455,962.95 and 144,008.57 is: 216,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,970.10 : 455,962.95 = 144,008.57 : x
  2. Step 2: Convert to fraction form
    303,970.10/455,962.95 = 144,008.57/x
  3. Step 3: Cross multiply
    303,970.10x = 455,962.95 × 144,008.57
  4. Step 4: Simplify right side
    303,970.10x = 65,662,570,122.67
  5. Step 5: Solve for x
    x = 65,662,570,122.67/303,970.10
  6. Step 6: Final answer
    x = 216,016.55

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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.