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Finding the Fourth Proportional to 402,005.60, 562,108 and 402,005.60

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Solution

The fourth proportional to 402,005.60, 562,108 and 402,005.60 is: 562,108

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,005.60 : 562,108 = 402,005.60 : x
  2. Step 2: Convert to fraction form
    402,005.60/562,108 = 402,005.60/x
  3. Step 3: Cross multiply
    402,005.60x = 562,108 × 402,005.60
  4. Step 4: Simplify right side
    402,005.60x = 225,970,563,804.80
  5. Step 5: Solve for x
    x = 225,970,563,804.80/402,005.60
  6. Step 6: Final answer
    x = 562,108

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.