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Finding the Fourth Proportional to 809,160, 1,212,113.76 and 403,128.16

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Solution

The fourth proportional to 809,160, 1,212,113.76 and 403,128.16 is: 603,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,160 : 1,212,113.76 = 403,128.16 : x
  2. Step 2: Convert to fraction form
    809,160/1,212,113.76 = 403,128.16/x
  3. Step 3: Cross multiply
    809,160x = 1,212,113.76 × 403,128.16
  4. Step 4: Simplify right side
    809,160x = 488,637,189,779.48
  5. Step 5: Solve for x
    x = 488,637,189,779.48/809,160
  6. Step 6: Final answer
    x = 603,882.04

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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.