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Finding the Fourth Proportional to 383,531.60, 575,297.40 and 313,547.60

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Solution

The fourth proportional to 383,531.60, 575,297.40 and 313,547.60 is: 470,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,531.60 : 575,297.40 = 313,547.60 : x
  2. Step 2: Convert to fraction form
    383,531.60/575,297.40 = 313,547.60/x
  3. Step 3: Cross multiply
    383,531.60x = 575,297.40 × 313,547.60
  4. Step 4: Simplify right side
    383,531.60x = 180,383,119,056.24
  5. Step 5: Solve for x
    x = 180,383,119,056.24/383,531.60
  6. Step 6: Final answer
    x = 470,321.40

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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.