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Finding the Fourth Proportional to 284,620.04, 392,783.52 and 157,303.88

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Solution

The fourth proportional to 284,620.04, 392,783.52 and 157,303.88 is: 217,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,620.04 : 392,783.52 = 157,303.88 : x
  2. Step 2: Convert to fraction form
    284,620.04/392,783.52 = 157,303.88/x
  3. Step 3: Cross multiply
    284,620.04x = 392,783.52 × 157,303.88
  4. Step 4: Simplify right side
    284,620.04x = 61,786,371,696.06
  5. Step 5: Solve for x
    x = 61,786,371,696.06/284,620.04
  6. Step 6: Final answer
    x = 217,083.70

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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.