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Finding the Fourth Proportional to 257,466.84, 355,325.28 and 142,781.40

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Solution

The fourth proportional to 257,466.84, 355,325.28 and 142,781.40 is: 197,050.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,466.84 : 355,325.28 = 142,781.40 : x
  2. Step 2: Convert to fraction form
    257,466.84/355,325.28 = 142,781.40/x
  3. Step 3: Cross multiply
    257,466.84x = 355,325.28 × 142,781.40
  4. Step 4: Simplify right side
    257,466.84x = 50,733,840,933.79
  5. Step 5: Solve for x
    x = 50,733,840,933.79/257,466.84
  6. Step 6: Final answer
    x = 197,050.00

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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.