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Finding the Fourth Proportional to 312,044.16, 430,230.48 and 260,435.04

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Solution

The fourth proportional to 312,044.16, 430,230.48 and 260,435.04 is: 359,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,044.16 : 430,230.48 = 260,435.04 : x
  2. Step 2: Convert to fraction form
    312,044.16/430,230.48 = 260,435.04/x
  3. Step 3: Cross multiply
    312,044.16x = 430,230.48 × 260,435.04
  4. Step 4: Simplify right side
    312,044.16x = 112,047,092,268.02
  5. Step 5: Solve for x
    x = 112,047,092,268.02/312,044.16
  6. Step 6: Final answer
    x = 359,074.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.