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Finding the Fourth Proportional to 468,172.80, 646,080.12 and 253,312.86

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Solution

The fourth proportional to 468,172.80, 646,080.12 and 253,312.86 is: 349,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,172.80 : 646,080.12 = 253,312.86 : x
  2. Step 2: Convert to fraction form
    468,172.80/646,080.12 = 253,312.86/x
  3. Step 3: Cross multiply
    468,172.80x = 646,080.12 × 253,312.86
  4. Step 4: Simplify right side
    468,172.80x = 163,660,405,667.31
  5. Step 5: Solve for x
    x = 163,660,405,667.31/468,172.80
  6. Step 6: Final answer
    x = 349,572.65

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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.