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Finding the Fourth Proportional to 210,364.80, 315,547.20 and 163,363.20

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Solution

The fourth proportional to 210,364.80, 315,547.20 and 163,363.20 is: 245,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,364.80 : 315,547.20 = 163,363.20 : x
  2. Step 2: Convert to fraction form
    210,364.80/315,547.20 = 163,363.20/x
  3. Step 3: Cross multiply
    210,364.80x = 315,547.20 × 163,363.20
  4. Step 4: Simplify right side
    210,364.80x = 51,548,800,343.04
  5. Step 5: Solve for x
    x = 51,548,800,343.04/210,364.80
  6. Step 6: Final answer
    x = 245,044.80

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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.