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Finding the Fourth Proportional to 525,239.24, 787,908.40 and 407,042.96

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Solution

The fourth proportional to 525,239.24, 787,908.40 and 407,042.96 is: 610,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,239.24 : 787,908.40 = 407,042.96 : x
  2. Step 2: Convert to fraction form
    525,239.24/787,908.40 = 407,042.96/x
  3. Step 3: Cross multiply
    525,239.24x = 787,908.40 × 407,042.96
  4. Step 4: Simplify right side
    525,239.24x = 320,712,567,344.86
  5. Step 5: Solve for x
    x = 320,712,567,344.86/525,239.24
  6. Step 6: Final answer
    x = 610,602.83

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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.