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Finding the Fourth Proportional to 399,547.65, 599,317.37 and 230,960.72

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Solution

The fourth proportional to 399,547.65, 599,317.37 and 230,960.72 is: 346,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,547.65 : 599,317.37 = 230,960.72 : x
  2. Step 2: Convert to fraction form
    399,547.65/599,317.37 = 230,960.72/x
  3. Step 3: Cross multiply
    399,547.65x = 599,317.37 × 230,960.72
  4. Step 4: Simplify right side
    399,547.65x = 138,418,767,132.32
  5. Step 5: Solve for x
    x = 138,418,767,132.32/399,547.65
  6. Step 6: Final answer
    x = 346,438.70

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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.