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Finding the Fourth Proportional to 284,409.88, 392,487.67 and 157,085.48

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Solution

The fourth proportional to 284,409.88, 392,487.67 and 157,085.48 is: 216,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,409.88 : 392,487.67 = 157,085.48 : x
  2. Step 2: Convert to fraction form
    284,409.88/392,487.67 = 157,085.48/x
  3. Step 3: Cross multiply
    284,409.88x = 392,487.67 × 157,085.48
  4. Step 4: Simplify right side
    284,409.88x = 61,654,111,680.88
  5. Step 5: Solve for x
    x = 61,654,111,680.88/284,409.88
  6. Step 6: Final answer
    x = 216,779.08

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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.