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Finding the Fourth Proportional to 291,703.12, 402,550.32 and 157,567.12

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Solution

The fourth proportional to 291,703.12, 402,550.32 and 157,567.12 is: 217,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,703.12 : 402,550.32 = 157,567.12 : x
  2. Step 2: Convert to fraction form
    291,703.12/402,550.32 = 157,567.12/x
  3. Step 3: Cross multiply
    291,703.12x = 402,550.32 × 157,567.12
  4. Step 4: Simplify right side
    291,703.12x = 63,428,694,577.48
  5. Step 5: Solve for x
    x = 63,428,694,577.48/291,703.12
  6. Step 6: Final answer
    x = 217,442.63

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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.