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Finding the Fourth Proportional to 402,408, 555,323.04 and 223,560

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Solution

The fourth proportional to 402,408, 555,323.04 and 223,560 is: 308,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408 : 555,323.04 = 223,560 : x
  2. Step 2: Convert to fraction form
    402,408/555,323.04 = 223,560/x
  3. Step 3: Cross multiply
    402,408x = 555,323.04 × 223,560
  4. Step 4: Simplify right side
    402,408x = 124,148,018,822.40
  5. Step 5: Solve for x
    x = 124,148,018,822.40/402,408
  6. Step 6: Final answer
    x = 308,512.80

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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.