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Finding the Fourth Proportional to 282,430.80, 423,512.55 and 164,138.40

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Solution

The fourth proportional to 282,430.80, 423,512.55 and 164,138.40 is: 246,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,430.80 : 423,512.55 = 164,138.40 : x
  2. Step 2: Convert to fraction form
    282,430.80/423,512.55 = 164,138.40/x
  3. Step 3: Cross multiply
    282,430.80x = 423,512.55 × 164,138.40
  4. Step 4: Simplify right side
    282,430.80x = 69,514,672,336.92
  5. Step 5: Solve for x
    x = 69,514,672,336.92/282,430.80
  6. Step 6: Final answer
    x = 246,129.93

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1.5x scale

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.