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Finding the Fourth Proportional to 284,477.60, 392,573.44 and 157,152

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Solution

The fourth proportional to 284,477.60, 392,573.44 and 157,152 is: 216,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,477.60 : 392,573.44 = 157,152 : x
  2. Step 2: Convert to fraction form
    284,477.60/392,573.44 = 157,152/x
  3. Step 3: Cross multiply
    284,477.60x = 392,573.44 × 157,152
  4. Step 4: Simplify right side
    284,477.60x = 61,693,701,242.88
  5. Step 5: Solve for x
    x = 61,693,701,242.88/284,477.60
  6. Step 6: Final answer
    x = 216,866.64

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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.