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Finding the Fourth Proportional to 255,782.40, 384,019.20 and 162,470.40

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Solution

The fourth proportional to 255,782.40, 384,019.20 and 162,470.40 is: 243,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,782.40 : 384,019.20 = 162,470.40 : x
  2. Step 2: Convert to fraction form
    255,782.40/384,019.20 = 162,470.40/x
  3. Step 3: Cross multiply
    255,782.40x = 384,019.20 × 162,470.40
  4. Step 4: Simplify right side
    255,782.40x = 62,391,753,031.68
  5. Step 5: Solve for x
    x = 62,391,753,031.68/255,782.40
  6. Step 6: Final answer
    x = 243,925.12

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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.