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Finding the Fourth Proportional to 284,383.68, 392,448.24 and 157,058.64

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Solution

The fourth proportional to 284,383.68, 392,448.24 and 157,058.64 is: 216,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,383.68 : 392,448.24 = 157,058.64 : x
  2. Step 2: Convert to fraction form
    284,383.68/392,448.24 = 157,058.64/x
  3. Step 3: Cross multiply
    284,383.68x = 392,448.24 × 157,058.64
  4. Step 4: Simplify right side
    284,383.68x = 61,637,386,844.79
  5. Step 5: Solve for x
    x = 61,637,386,844.79/284,383.68
  6. Step 6: Final answer
    x = 216,740.24

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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.