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Finding the Fourth Proportional to 284,726, 392,887.77 and 157,384.28

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Solution

The fourth proportional to 284,726, 392,887.77 and 157,384.28 is: 217,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,726 : 392,887.77 = 157,384.28 : x
  2. Step 2: Convert to fraction form
    284,726/392,887.77 = 157,384.28/x
  3. Step 3: Cross multiply
    284,726x = 392,887.77 × 157,384.28
  4. Step 4: Simplify right side
    284,726x = 61,834,358,802.26
  5. Step 5: Solve for x
    x = 61,834,358,802.26/284,726
  6. Step 6: Final answer
    x = 217,171.45

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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.