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Finding the Fourth Proportional to 399,415.16, 599,420.30 and 293,073.91

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Solution

The fourth proportional to 399,415.16, 599,420.30 and 293,073.91 is: 439,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,415.16 : 599,420.30 = 293,073.91 : x
  2. Step 2: Convert to fraction form
    399,415.16/599,420.30 = 293,073.91/x
  3. Step 3: Cross multiply
    399,415.16x = 599,420.30 × 293,073.91
  4. Step 4: Simplify right side
    399,415.16x = 175,674,451,054.37
  5. Step 5: Solve for x
    x = 175,674,451,054.37/399,415.16
  6. Step 6: Final answer
    x = 439,829.20

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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.