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Finding the Fourth Proportional to 257,095.71, 354,706.13 and 149,642.93

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Solution

The fourth proportional to 257,095.71, 354,706.13 and 149,642.93 is: 206,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,095.71 : 354,706.13 = 149,642.93 : x
  2. Step 2: Convert to fraction form
    257,095.71/354,706.13 = 149,642.93/x
  3. Step 3: Cross multiply
    257,095.71x = 354,706.13 × 149,642.93
  4. Step 4: Simplify right side
    257,095.71x = 53,079,262,060.42
  5. Step 5: Solve for x
    x = 53,079,262,060.42/257,095.71
  6. Step 6: Final answer
    x = 206,457.21

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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.