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Finding the Fourth Proportional to 390,293.66, 585,479.42 and 105,988.82

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Solution

The fourth proportional to 390,293.66, 585,479.42 and 105,988.82 is: 158,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,293.66 : 585,479.42 = 105,988.82 : x
  2. Step 2: Convert to fraction form
    390,293.66/585,479.42 = 105,988.82/x
  3. Step 3: Cross multiply
    390,293.66x = 585,479.42 × 105,988.82
  4. Step 4: Simplify right side
    390,293.66x = 62,054,269,402.74
  5. Step 5: Solve for x
    x = 62,054,269,402.74/390,293.66
  6. Step 6: Final answer
    x = 158,993.80

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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.