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Finding the Fourth Proportional to 291,675.25, 402,512.12 and 157,539.25

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Solution

The fourth proportional to 291,675.25, 402,512.12 and 157,539.25 is: 217,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,675.25 : 402,512.12 = 157,539.25 : x
  2. Step 2: Convert to fraction form
    291,675.25/402,512.12 = 157,539.25/x
  3. Step 3: Cross multiply
    291,675.25x = 402,512.12 × 157,539.25
  4. Step 4: Simplify right side
    291,675.25x = 63,411,457,500.71
  5. Step 5: Solve for x
    x = 63,411,457,500.71/291,675.25
  6. Step 6: Final answer
    x = 217,404.31

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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.