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Finding the Fourth Proportional to 529,771.86, 731,094.31 and 288,056.07

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Solution

The fourth proportional to 529,771.86, 731,094.31 and 288,056.07 is: 397,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,771.86 : 731,094.31 = 288,056.07 : x
  2. Step 2: Convert to fraction form
    529,771.86/731,094.31 = 288,056.07/x
  3. Step 3: Cross multiply
    529,771.86x = 731,094.31 × 288,056.07
  4. Step 4: Simplify right side
    529,771.86x = 210,596,148,642.21
  5. Step 5: Solve for x
    x = 210,596,148,642.21/529,771.86
  6. Step 6: Final answer
    x = 397,522.34

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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.