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Finding the Fourth Proportional to 292,523.40, 438,785.10 and 142,859.70

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Solution

The fourth proportional to 292,523.40, 438,785.10 and 142,859.70 is: 214,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,523.40 : 438,785.10 = 142,859.70 : x
  2. Step 2: Convert to fraction form
    292,523.40/438,785.10 = 142,859.70/x
  3. Step 3: Cross multiply
    292,523.40x = 438,785.10 × 142,859.70
  4. Step 4: Simplify right side
    292,523.40x = 62,684,707,750.47
  5. Step 5: Solve for x
    x = 62,684,707,750.47/292,523.40
  6. Step 6: Final answer
    x = 214,289.55

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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.