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Finding the Fourth Proportional to 528,295.88, 729,048.32 and 301,946.24

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Solution

The fourth proportional to 528,295.88, 729,048.32 and 301,946.24 is: 416,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,295.88 : 729,048.32 = 301,946.24 : x
  2. Step 2: Convert to fraction form
    528,295.88/729,048.32 = 301,946.24/x
  3. Step 3: Cross multiply
    528,295.88x = 729,048.32 × 301,946.24
  4. Step 4: Simplify right side
    528,295.88x = 220,133,393,847.34
  5. Step 5: Solve for x
    x = 220,133,393,847.34/528,295.88
  6. Step 6: Final answer
    x = 416,685.81

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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.