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Finding the Fourth Proportional to 430,171.20, 645,256.80 and 243,547.20

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Solution

The fourth proportional to 430,171.20, 645,256.80 and 243,547.20 is: 365,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,171.20 : 645,256.80 = 243,547.20 : x
  2. Step 2: Convert to fraction form
    430,171.20/645,256.80 = 243,547.20/x
  3. Step 3: Cross multiply
    430,171.20x = 645,256.80 × 243,547.20
  4. Step 4: Simplify right side
    430,171.20x = 157,150,486,920.96
  5. Step 5: Solve for x
    x = 157,150,486,920.96/430,171.20
  6. Step 6: Final answer
    x = 365,320.80

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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.