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Finding the Fourth Proportional to 510,851.87, 705,030.95 and 281,432.68

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Solution

The fourth proportional to 510,851.87, 705,030.95 and 281,432.68 is: 388,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,851.87 : 705,030.95 = 281,432.68 : x
  2. Step 2: Convert to fraction form
    510,851.87/705,030.95 = 281,432.68/x
  3. Step 3: Cross multiply
    510,851.87x = 705,030.95 × 281,432.68
  4. Step 4: Simplify right side
    510,851.87x = 198,418,749,741.45
  5. Step 5: Solve for x
    x = 198,418,749,741.45/510,851.87
  6. Step 6: Final answer
    x = 388,407.60

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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.