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Finding the Fourth Proportional to 284,359.47, 392,412.92 and 157,032.51

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Solution

The fourth proportional to 284,359.47, 392,412.92 and 157,032.51 is: 216,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,359.47 : 392,412.92 = 157,032.51 : x
  2. Step 2: Convert to fraction form
    284,359.47/392,412.92 = 157,032.51/x
  3. Step 3: Cross multiply
    284,359.47x = 392,412.92 × 157,032.51
  4. Step 4: Simplify right side
    284,359.47x = 61,621,584,998.87
  5. Step 5: Solve for x
    x = 61,621,584,998.87/284,359.47
  6. Step 6: Final answer
    x = 216,703.12

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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.