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Finding the Fourth Proportional to 284,750.25, 392,963.55 and 157,434.06

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Solution

The fourth proportional to 284,750.25, 392,963.55 and 157,434.06 is: 217,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,750.25 : 392,963.55 = 157,434.06 : x
  2. Step 2: Convert to fraction form
    284,750.25/392,963.55 = 157,434.06/x
  3. Step 3: Cross multiply
    284,750.25x = 392,963.55 × 157,434.06
  4. Step 4: Simplify right side
    284,750.25x = 61,865,847,108.51
  5. Step 5: Solve for x
    x = 61,865,847,108.51/284,750.25
  6. Step 6: Final answer
    x = 217,263.54

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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.