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Finding the Fourth Proportional to 475,875.18, 656,854.78 and 306,109.32

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Solution

The fourth proportional to 475,875.18, 656,854.78 and 306,109.32 is: 422,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,875.18 : 656,854.78 = 306,109.32 : x
  2. Step 2: Convert to fraction form
    475,875.18/656,854.78 = 306,109.32/x
  3. Step 3: Cross multiply
    475,875.18x = 656,854.78 × 306,109.32
  4. Step 4: Simplify right side
    475,875.18x = 201,069,370,044.55
  5. Step 5: Solve for x
    x = 201,069,370,044.55/475,875.18
  6. Step 6: Final answer
    x = 422,525.44

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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.