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Finding the Fourth Proportional to 255,298.92, 382,491.54 and 142,848.24

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Solution

The fourth proportional to 255,298.92, 382,491.54 and 142,848.24 is: 214,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,298.92 : 382,491.54 = 142,848.24 : x
  2. Step 2: Convert to fraction form
    255,298.92/382,491.54 = 142,848.24/x
  3. Step 3: Cross multiply
    255,298.92x = 382,491.54 × 142,848.24
  4. Step 4: Simplify right side
    255,298.92x = 54,638,243,303.89
  5. Step 5: Solve for x
    x = 54,638,243,303.89/255,298.92
  6. Step 6: Final answer
    x = 214,016.74

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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.