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Finding the Fourth Proportional to 284,762.40, 392,990.64 and 163,918.56

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Solution

The fourth proportional to 284,762.40, 392,990.64 and 163,918.56 is: 226,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,762.40 : 392,990.64 = 163,918.56 : x
  2. Step 2: Convert to fraction form
    284,762.40/392,990.64 = 163,918.56/x
  3. Step 3: Cross multiply
    284,762.40x = 392,990.64 × 163,918.56
  4. Step 4: Simplify right side
    284,762.40x = 64,418,459,802.28
  5. Step 5: Solve for x
    x = 64,418,459,802.28/284,762.40
  6. Step 6: Final answer
    x = 226,218.28

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1.5x scale

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.