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Finding the Fourth Proportional to 399,186.24, 599,210.72 and 355,095.36

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Solution

The fourth proportional to 399,186.24, 599,210.72 and 355,095.36 is: 533,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,186.24 : 599,210.72 = 355,095.36 : x
  2. Step 2: Convert to fraction form
    399,186.24/599,210.72 = 355,095.36/x
  3. Step 3: Cross multiply
    399,186.24x = 599,210.72 × 355,095.36
  4. Step 4: Simplify right side
    399,186.24x = 212,776,946,334.26
  5. Step 5: Solve for x
    x = 212,776,946,334.26/399,186.24
  6. Step 6: Final answer
    x = 533,026.76

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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.