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Finding the Fourth Proportional to 408,807,129.60, 613,339,329.99 and 146,312,723.01

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Solution

The fourth proportional to 408,807,129.60, 613,339,329.99 and 146,312,723.01 is: 219,515,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,807,129.60 : 613,339,329.99 = 146,312,723.01 : x
  2. Step 2: Convert to fraction form
    408,807,129.60/613,339,329.99 = 146,312,723.01/x
  3. Step 3: Cross multiply
    408,807,129.60x = 613,339,329.99 × 146,312,723.01
  4. Step 4: Simplify right side
    408,807,129.60x = 89,739,347,502,814,544
  5. Step 5: Solve for x
    x = 89,739,347,502,814,544/408,807,129.60
  6. Step 6: Final answer
    x = 219,515,123.40

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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.