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Finding the Fourth Proportional to 508,911.48, 702,319.78 and 282,557

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Solution

The fourth proportional to 508,911.48, 702,319.78 and 282,557 is: 389,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,911.48 : 702,319.78 = 282,557 : x
  2. Step 2: Convert to fraction form
    508,911.48/702,319.78 = 282,557/x
  3. Step 3: Cross multiply
    508,911.48x = 702,319.78 × 282,557
  4. Step 4: Simplify right side
    508,911.48x = 198,445,370,077.46
  5. Step 5: Solve for x
    x = 198,445,370,077.46/508,911.48
  6. Step 6: Final answer
    x = 389,940.84

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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.