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Finding the Fourth Proportional to 284,688.45, 392,870.16 and 157,364.01

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Solution

The fourth proportional to 284,688.45, 392,870.16 and 157,364.01 is: 217,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,688.45 : 392,870.16 = 157,364.01 : x
  2. Step 2: Convert to fraction form
    284,688.45/392,870.16 = 157,364.01/x
  3. Step 3: Cross multiply
    284,688.45x = 392,870.16 × 157,364.01
  4. Step 4: Simplify right side
    284,688.45x = 61,823,623,786.94
  5. Step 5: Solve for x
    x = 61,823,623,786.94/284,688.45
  6. Step 6: Final answer
    x = 217,162.39

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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.