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Finding the Fourth Proportional to 513,220.32, 708,222.96 and 283,762.98

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Solution

The fourth proportional to 513,220.32, 708,222.96 and 283,762.98 is: 391,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,220.32 : 708,222.96 = 283,762.98 : x
  2. Step 2: Convert to fraction form
    513,220.32/708,222.96 = 283,762.98/x
  3. Step 3: Cross multiply
    513,220.32x = 708,222.96 × 283,762.98
  4. Step 4: Simplify right side
    513,220.32x = 200,967,457,634.02
  5. Step 5: Solve for x
    x = 200,967,457,634.02/513,220.32
  6. Step 6: Final answer
    x = 391,581.26

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1.5x scale

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.