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Finding the Fourth Proportional to 476,847.80, 657,776.20 and 297,688.76

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Solution

The fourth proportional to 476,847.80, 657,776.20 and 297,688.76 is: 410,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,847.80 : 657,776.20 = 297,688.76 : x
  2. Step 2: Convert to fraction form
    476,847.80/657,776.20 = 297,688.76/x
  3. Step 3: Cross multiply
    476,847.80x = 657,776.20 × 297,688.76
  4. Step 4: Simplify right side
    476,847.80x = 195,812,581,335.51
  5. Step 5: Solve for x
    x = 195,812,581,335.51/476,847.80
  6. Step 6: Final answer
    x = 410,639.58

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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.