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Finding the Fourth Proportional to 497,666,969.60, 746,500,454.40 and 489,604,812.80

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Solution

The fourth proportional to 497,666,969.60, 746,500,454.40 and 489,604,812.80 is: 734,407,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666,969.60 : 746,500,454.40 = 489,604,812.80 : x
  2. Step 2: Convert to fraction form
    497,666,969.60/746,500,454.40 = 489,604,812.80/x
  3. Step 3: Cross multiply
    497,666,969.60x = 746,500,454.40 × 489,604,812.80
  4. Step 4: Simplify right side
    497,666,969.60x = 365,490,215,231,626,944
  5. Step 5: Solve for x
    x = 365,490,215,231,626,944/497,666,969.60
  6. Step 6: Final answer
    x = 734,407,219.20

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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.