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Finding the Fourth Proportional to 508,457,117.70, 762,685,676.55 and 477,846,116.10

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Solution

The fourth proportional to 508,457,117.70, 762,685,676.55 and 477,846,116.10 is: 716,769,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,457,117.70 : 762,685,676.55 = 477,846,116.10 : x
  2. Step 2: Convert to fraction form
    508,457,117.70/762,685,676.55 = 477,846,116.10/x
  3. Step 3: Cross multiply
    508,457,117.70x = 762,685,676.55 × 477,846,116.10
  4. Step 4: Simplify right side
    508,457,117.70x = 364,446,388,344,518,336
  5. Step 5: Solve for x
    x = 364,446,388,344,518,336/508,457,117.70
  6. Step 6: Final answer
    x = 716,769,174.15

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