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Finding the Fourth Proportional to 402,105.45, 555,030.09 and 258,865.50

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Solution

The fourth proportional to 402,105.45, 555,030.09 and 258,865.50 is: 357,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,105.45 : 555,030.09 = 258,865.50 : x
  2. Step 2: Convert to fraction form
    402,105.45/555,030.09 = 258,865.50/x
  3. Step 3: Cross multiply
    402,105.45x = 555,030.09 × 258,865.50
  4. Step 4: Simplify right side
    402,105.45x = 143,678,141,762.90
  5. Step 5: Solve for x
    x = 143,678,141,762.90/402,105.45
  6. Step 6: Final answer
    x = 357,314.58

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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.