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Finding the Fourth Proportional to 399,547.81, 551,392.74 and 229,782.07

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Solution

The fourth proportional to 399,547.81, 551,392.74 and 229,782.07 is: 317,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,547.81 : 551,392.74 = 229,782.07 : x
  2. Step 2: Convert to fraction form
    399,547.81/551,392.74 = 229,782.07/x
  3. Step 3: Cross multiply
    399,547.81x = 551,392.74 × 229,782.07
  4. Step 4: Simplify right side
    399,547.81x = 126,700,161,274.30
  5. Step 5: Solve for x
    x = 126,700,161,274.30/399,547.81
  6. Step 6: Final answer
    x = 317,108.89

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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.