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Finding the Fourth Proportional to 556,489.70, 767,955.81 and 314,767.07

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Solution

The fourth proportional to 556,489.70, 767,955.81 and 314,767.07 is: 434,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,489.70 : 767,955.81 = 314,767.07 : x
  2. Step 2: Convert to fraction form
    556,489.70/767,955.81 = 314,767.07/x
  3. Step 3: Cross multiply
    556,489.70x = 767,955.81 × 314,767.07
  4. Step 4: Simplify right side
    556,489.70x = 241,727,200,203.18
  5. Step 5: Solve for x
    x = 241,727,200,203.18/556,489.70
  6. Step 6: Final answer
    x = 434,378.57

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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.