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Finding the Fourth Proportional to 468,081.84, 645,951 and 253,221.40

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Solution

The fourth proportional to 468,081.84, 645,951 and 253,221.40 is: 349,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,081.84 : 645,951 = 253,221.40 : x
  2. Step 2: Convert to fraction form
    468,081.84/645,951 = 253,221.40/x
  3. Step 3: Cross multiply
    468,081.84x = 645,951 × 253,221.40
  4. Step 4: Simplify right side
    468,081.84x = 163,568,616,551.40
  5. Step 5: Solve for x
    x = 163,568,616,551.40/468,081.84
  6. Step 6: Final answer
    x = 349,444.48

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1.5x scale

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.