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Finding the Fourth Proportional to 284,782.74, 393,008.07 and 157,462.89

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Solution

The fourth proportional to 284,782.74, 393,008.07 and 157,462.89 is: 217,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,782.74 : 393,008.07 = 157,462.89 : x
  2. Step 2: Convert to fraction form
    284,782.74/393,008.07 = 157,462.89/x
  3. Step 3: Cross multiply
    284,782.74x = 393,008.07 × 157,462.89
  4. Step 4: Simplify right side
    284,782.74x = 61,884,186,495.52
  5. Step 5: Solve for x
    x = 61,884,186,495.52/284,782.74
  6. Step 6: Final answer
    x = 217,303.15

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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.