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Finding the Fourth Proportional to 401,180.32, 553,689.82 and 256,048.76

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Solution

The fourth proportional to 401,180.32, 553,689.82 and 256,048.76 is: 353,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,180.32 : 553,689.82 = 256,048.76 : x
  2. Step 2: Convert to fraction form
    401,180.32/553,689.82 = 256,048.76/x
  3. Step 3: Cross multiply
    401,180.32x = 553,689.82 × 256,048.76
  4. Step 4: Simplify right side
    401,180.32x = 141,771,591,835.62
  5. Step 5: Solve for x
    x = 141,771,591,835.62/401,180.32
  6. Step 6: Final answer
    x = 353,386.21

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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.