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Finding the Fourth Proportional to 508,761.57, 702,055.85 and 282,389.25

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Solution

The fourth proportional to 508,761.57, 702,055.85 and 282,389.25 is: 389,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,761.57 : 702,055.85 = 282,389.25 : x
  2. Step 2: Convert to fraction form
    508,761.57/702,055.85 = 282,389.25/x
  3. Step 3: Cross multiply
    508,761.57x = 702,055.85 × 282,389.25
  4. Step 4: Simplify right side
    508,761.57x = 198,253,023,527.67
  5. Step 5: Solve for x
    x = 198,253,023,527.67/508,761.57
  6. Step 6: Final answer
    x = 389,677.67

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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.