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Finding the Fourth Proportional to 284,518.64, 392,602.26 and 157,186.64

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Solution

The fourth proportional to 284,518.64, 392,602.26 and 157,186.64 is: 216,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,518.64 : 392,602.26 = 157,186.64 : x
  2. Step 2: Convert to fraction form
    284,518.64/392,602.26 = 157,186.64/x
  3. Step 3: Cross multiply
    284,518.64x = 392,602.26 × 157,186.64
  4. Step 4: Simplify right side
    284,518.64x = 61,711,830,105.81
  5. Step 5: Solve for x
    x = 61,711,830,105.81/284,518.64
  6. Step 6: Final answer
    x = 216,899.08

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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.