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Finding the Fourth Proportional to 497,177,999.70, 745,766,999.55 and 420,650,495.70

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Solution

The fourth proportional to 497,177,999.70, 745,766,999.55 and 420,650,495.70 is: 630,975,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,177,999.70 : 745,766,999.55 = 420,650,495.70 : x
  2. Step 2: Convert to fraction form
    497,177,999.70/745,766,999.55 = 420,650,495.70/x
  3. Step 3: Cross multiply
    497,177,999.70x = 745,766,999.55 × 420,650,495.70
  4. Step 4: Simplify right side
    497,177,999.70x = 313,707,258,037,409,152
  5. Step 5: Solve for x
    x = 313,707,258,037,409,152/497,177,999.70
  6. Step 6: Final answer
    x = 630,975,743.55

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1.5x scale

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.