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Finding the Fourth Proportional to 341,698.40, 512,547.60 and 307,872.80

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Solution

The fourth proportional to 341,698.40, 512,547.60 and 307,872.80 is: 461,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,698.40 : 512,547.60 = 307,872.80 : x
  2. Step 2: Convert to fraction form
    341,698.40/512,547.60 = 307,872.80/x
  3. Step 3: Cross multiply
    341,698.40x = 512,547.60 × 307,872.80
  4. Step 4: Simplify right side
    341,698.40x = 157,799,464,745.28
  5. Step 5: Solve for x
    x = 157,799,464,745.28/341,698.40
  6. Step 6: Final answer
    x = 461,809.20

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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.