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Finding the Fourth Proportional to 971,912.70, 1,457,350.65 and 410,312.70

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Solution

The fourth proportional to 971,912.70, 1,457,350.65 and 410,312.70 is: 615,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,912.70 : 1,457,350.65 = 410,312.70 : x
  2. Step 2: Convert to fraction form
    971,912.70/1,457,350.65 = 410,312.70/x
  3. Step 3: Cross multiply
    971,912.70x = 1,457,350.65 × 410,312.70
  4. Step 4: Simplify right side
    971,912.70x = 597,969,480,048.26
  5. Step 5: Solve for x
    x = 597,969,480,048.26/971,912.70
  6. Step 6: Final answer
    x = 615,250.20

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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.