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Finding the Fourth Proportional to 321,748.02, 482,602.32 and 144,207.36

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Solution

The fourth proportional to 321,748.02, 482,602.32 and 144,207.36 is: 216,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,748.02 : 482,602.32 = 144,207.36 : x
  2. Step 2: Convert to fraction form
    321,748.02/482,602.32 = 144,207.36/x
  3. Step 3: Cross multiply
    321,748.02x = 482,602.32 × 144,207.36
  4. Step 4: Simplify right side
    321,748.02x = 69,594,806,497.08
  5. Step 5: Solve for x
    x = 69,594,806,497.08/321,748.02
  6. Step 6: Final answer
    x = 216,302.21

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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.