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Finding the Fourth Proportional to 291,903.58, 402,826.76 and 157,767.58

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Solution

The fourth proportional to 291,903.58, 402,826.76 and 157,767.58 is: 217,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,903.58 : 402,826.76 = 157,767.58 : x
  2. Step 2: Convert to fraction form
    291,903.58/402,826.76 = 157,767.58/x
  3. Step 3: Cross multiply
    291,903.58x = 402,826.76 × 157,767.58
  4. Step 4: Simplify right side
    291,903.58x = 63,553,001,288.54
  5. Step 5: Solve for x
    x = 63,553,001,288.54/291,903.58
  6. Step 6: Final answer
    x = 217,719.16

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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.