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Finding the Fourth Proportional to 646,854,401.80, 970,281,602.70 and 302,480,633.80

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Solution

The fourth proportional to 646,854,401.80, 970,281,602.70 and 302,480,633.80 is: 453,720,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,854,401.80 : 970,281,602.70 = 302,480,633.80 : x
  2. Step 2: Convert to fraction form
    646,854,401.80/970,281,602.70 = 302,480,633.80/x
  3. Step 3: Cross multiply
    646,854,401.80x = 970,281,602.70 × 302,480,633.80
  4. Step 4: Simplify right side
    646,854,401.80x = 293,491,394,149,175,808
  5. Step 5: Solve for x
    x = 293,491,394,149,175,808/646,854,401.80
  6. Step 6: Final answer
    x = 453,720,950.70

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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.