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Finding the Fourth Proportional to 291,606.13, 402,416.46 and 157,470.13

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Solution

The fourth proportional to 291,606.13, 402,416.46 and 157,470.13 is: 217,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,606.13 : 402,416.46 = 157,470.13 : x
  2. Step 2: Convert to fraction form
    291,606.13/402,416.46 = 157,470.13/x
  3. Step 3: Cross multiply
    291,606.13x = 402,416.46 × 157,470.13
  4. Step 4: Simplify right side
    291,606.13x = 63,368,569,470.91
  5. Step 5: Solve for x
    x = 63,368,569,470.91/291,606.13
  6. Step 6: Final answer
    x = 217,308.77

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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.