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Finding the Fourth Proportional to 476,140, 714,410.28 and 296,375.74

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Solution

The fourth proportional to 476,140, 714,410.28 and 296,375.74 is: 444,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,140 : 714,410.28 = 296,375.74 : x
  2. Step 2: Convert to fraction form
    476,140/714,410.28 = 296,375.74/x
  3. Step 3: Cross multiply
    476,140x = 714,410.28 × 296,375.74
  4. Step 4: Simplify right side
    476,140x = 211,733,875,398.61
  5. Step 5: Solve for x
    x = 211,733,875,398.61/476,140
  6. Step 6: Final answer
    x = 444,688.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.