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Finding the Fourth Proportional to 497,721.60, 746,582.40 and 470,764.80

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Solution

The fourth proportional to 497,721.60, 746,582.40 and 470,764.80 is: 706,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,721.60 : 746,582.40 = 470,764.80 : x
  2. Step 2: Convert to fraction form
    497,721.60/746,582.40 = 470,764.80/x
  3. Step 3: Cross multiply
    497,721.60x = 746,582.40 × 470,764.80
  4. Step 4: Simplify right side
    497,721.60x = 351,464,714,219.52
  5. Step 5: Solve for x
    x = 351,464,714,219.52/497,721.60
  6. Step 6: Final answer
    x = 706,147.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.