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Finding the Fourth Proportional to 646,429,130.70, 969,779,876.85 and 209,695,713.42

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Solution

The fourth proportional to 646,429,130.70, 969,779,876.85 and 209,695,713.42 is: 314,587,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,429,130.70 : 969,779,876.85 = 209,695,713.42 : x
  2. Step 2: Convert to fraction form
    646,429,130.70/969,779,876.85 = 209,695,713.42/x
  3. Step 3: Cross multiply
    646,429,130.70x = 969,779,876.85 × 209,695,713.42
  4. Step 4: Simplify right side
    646,429,130.70x = 203,358,683,136,420,480
  5. Step 5: Solve for x
    x = 203,358,683,136,420,480/646,429,130.70
  6. Step 6: Final answer
    x = 314,587,745.94

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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.