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Finding the Fourth Proportional to 284,810.58, 393,041.16 and 157,494.78

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Solution

The fourth proportional to 284,810.58, 393,041.16 and 157,494.78 is: 217,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,810.58 : 393,041.16 = 157,494.78 : x
  2. Step 2: Convert to fraction form
    284,810.58/393,041.16 = 157,494.78/x
  3. Step 3: Cross multiply
    284,810.58x = 393,041.16 × 157,494.78
  4. Step 4: Simplify right side
    284,810.58x = 61,901,931,025.14
  5. Step 5: Solve for x
    x = 61,901,931,025.14/284,810.58
  6. Step 6: Final answer
    x = 217,344.21

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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.