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Finding the Fourth Proportional to 460,010.70, 634,814.64 and 256,057.20

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Solution

The fourth proportional to 460,010.70, 634,814.64 and 256,057.20 is: 353,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,010.70 : 634,814.64 = 256,057.20 : x
  2. Step 2: Convert to fraction form
    460,010.70/634,814.64 = 256,057.20/x
  3. Step 3: Cross multiply
    460,010.70x = 634,814.64 × 256,057.20
  4. Step 4: Simplify right side
    460,010.70x = 162,548,859,237.41
  5. Step 5: Solve for x
    x = 162,548,859,237.41/460,010.70
  6. Step 6: Final answer
    x = 353,358.87

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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.