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Finding the Fourth Proportional to 284,600.16, 392,746.32 and 157,275.84

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Solution

The fourth proportional to 284,600.16, 392,746.32 and 157,275.84 is: 217,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,600.16 : 392,746.32 = 157,275.84 : x
  2. Step 2: Convert to fraction form
    284,600.16/392,746.32 = 157,275.84/x
  3. Step 3: Cross multiply
    284,600.16x = 392,746.32 × 157,275.84
  4. Step 4: Simplify right side
    284,600.16x = 61,769,507,384.91
  5. Step 5: Solve for x
    x = 61,769,507,384.91/284,600.16
  6. Step 6: Final answer
    x = 217,039.61

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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.