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Finding the Fourth Proportional to 647,031.80, 970,547.70 and 409,669.40

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Solution

The fourth proportional to 647,031.80, 970,547.70 and 409,669.40 is: 614,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,031.80 : 970,547.70 = 409,669.40 : x
  2. Step 2: Convert to fraction form
    647,031.80/970,547.70 = 409,669.40/x
  3. Step 3: Cross multiply
    647,031.80x = 970,547.70 × 409,669.40
  4. Step 4: Simplify right side
    647,031.80x = 397,603,693,930.38
  5. Step 5: Solve for x
    x = 397,603,693,930.38/647,031.80
  6. Step 6: Final answer
    x = 614,504.10

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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.