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Finding the Fourth Proportional to 266,300.28, 367,478.12 and 145,417

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Solution

The fourth proportional to 266,300.28, 367,478.12 and 145,417 is: 200,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,300.28 : 367,478.12 = 145,417 : x
  2. Step 2: Convert to fraction form
    266,300.28/367,478.12 = 145,417/x
  3. Step 3: Cross multiply
    266,300.28x = 367,478.12 × 145,417
  4. Step 4: Simplify right side
    266,300.28x = 53,437,565,776.04
  5. Step 5: Solve for x
    x = 53,437,565,776.04/266,300.28
  6. Step 6: Final answer
    x = 200,666.58

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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.