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Finding the Fourth Proportional to 310,547.20, 465,820.80 and 216,068.80

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Solution

The fourth proportional to 310,547.20, 465,820.80 and 216,068.80 is: 324,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,547.20 : 465,820.80 = 216,068.80 : x
  2. Step 2: Convert to fraction form
    310,547.20/465,820.80 = 216,068.80/x
  3. Step 3: Cross multiply
    310,547.20x = 465,820.80 × 216,068.80
  4. Step 4: Simplify right side
    310,547.20x = 100,649,341,271.04
  5. Step 5: Solve for x
    x = 100,649,341,271.04/310,547.20
  6. Step 6: Final answer
    x = 324,103.20

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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.