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Finding the Fourth Proportional to 257,689, 355,649.70 and 157,145.32

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Solution

The fourth proportional to 257,689, 355,649.70 and 157,145.32 is: 216,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,689 : 355,649.70 = 157,145.32 : x
  2. Step 2: Convert to fraction form
    257,689/355,649.70 = 157,145.32/x
  3. Step 3: Cross multiply
    257,689x = 355,649.70 × 157,145.32
  4. Step 4: Simplify right side
    257,689x = 55,888,685,914.40
  5. Step 5: Solve for x
    x = 55,888,685,914.40/257,689
  6. Step 6: Final answer
    x = 216,884.25

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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.