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Finding the Fourth Proportional to 540,999.72, 746,573.16 and 299,263.32

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Solution

The fourth proportional to 540,999.72, 746,573.16 and 299,263.32 is: 412,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,999.72 : 746,573.16 = 299,263.32 : x
  2. Step 2: Convert to fraction form
    540,999.72/746,573.16 = 299,263.32/x
  3. Step 3: Cross multiply
    540,999.72x = 746,573.16 × 299,263.32
  4. Step 4: Simplify right side
    540,999.72x = 223,421,962,484.49
  5. Step 5: Solve for x
    x = 223,421,962,484.49/540,999.72
  6. Step 6: Final answer
    x = 412,979.81

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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.