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Finding the Fourth Proportional to 402,011.52, 554,754.24 and 223,152

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Solution

The fourth proportional to 402,011.52, 554,754.24 and 223,152 is: 307,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,011.52 : 554,754.24 = 223,152 : x
  2. Step 2: Convert to fraction form
    402,011.52/554,754.24 = 223,152/x
  3. Step 3: Cross multiply
    402,011.52x = 554,754.24 × 223,152
  4. Step 4: Simplify right side
    402,011.52x = 123,794,518,164.48
  5. Step 5: Solve for x
    x = 123,794,518,164.48/402,011.52
  6. Step 6: Final answer
    x = 307,937.74

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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.