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Finding the Fourth Proportional to 510,432.84, 704,391.59 and 280,985.22

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Solution

The fourth proportional to 510,432.84, 704,391.59 and 280,985.22 is: 387,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,432.84 : 704,391.59 = 280,985.22 : x
  2. Step 2: Convert to fraction form
    510,432.84/704,391.59 = 280,985.22/x
  3. Step 3: Cross multiply
    510,432.84x = 704,391.59 × 280,985.22
  4. Step 4: Simplify right side
    510,432.84x = 197,923,626,584.76
  5. Step 5: Solve for x
    x = 197,923,626,584.76/510,432.84
  6. Step 6: Final answer
    x = 387,756.45

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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.