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Finding the Fourth Proportional to 509,925.24, 703,570.86 and 318,843

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Solution

The fourth proportional to 509,925.24, 703,570.86 and 318,843 is: 439,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,925.24 : 703,570.86 = 318,843 : x
  2. Step 2: Convert to fraction form
    509,925.24/703,570.86 = 318,843/x
  3. Step 3: Cross multiply
    509,925.24x = 703,570.86 × 318,843
  4. Step 4: Simplify right side
    509,925.24x = 224,328,643,714.98
  5. Step 5: Solve for x
    x = 224,328,643,714.98/509,925.24
  6. Step 6: Final answer
    x = 439,924.57

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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.