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Finding the Fourth Proportional to 256,045.98, 353,509.88 and 229,142.24

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Solution

The fourth proportional to 256,045.98, 353,509.88 and 229,142.24 is: 316,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,045.98 : 353,509.88 = 229,142.24 : x
  2. Step 2: Convert to fraction form
    256,045.98/353,509.88 = 229,142.24/x
  3. Step 3: Cross multiply
    256,045.98x = 353,509.88 × 229,142.24
  4. Step 4: Simplify right side
    256,045.98x = 81,004,044,570.64
  5. Step 5: Solve for x
    x = 81,004,044,570.64/256,045.98
  6. Step 6: Final answer
    x = 316,365.23

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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.