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Finding the Fourth Proportional to 291,920.91, 402,851.48 and 157,784.91

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Solution

The fourth proportional to 291,920.91, 402,851.48 and 157,784.91 is: 217,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,920.91 : 402,851.48 = 157,784.91 : x
  2. Step 2: Convert to fraction form
    291,920.91/402,851.48 = 157,784.91/x
  3. Step 3: Cross multiply
    291,920.91x = 402,851.48 × 157,784.91
  4. Step 4: Simplify right side
    291,920.91x = 63,563,883,726.24
  5. Step 5: Solve for x
    x = 63,563,883,726.24/291,920.91
  6. Step 6: Final answer
    x = 217,743.51

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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.