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Finding the Fourth Proportional to 510,402.60, 704,340.90 and 284,043.24

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Solution

The fourth proportional to 510,402.60, 704,340.90 and 284,043.24 is: 391,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,402.60 : 704,340.90 = 284,043.24 : x
  2. Step 2: Convert to fraction form
    510,402.60/704,340.90 = 284,043.24/x
  3. Step 3: Cross multiply
    510,402.60x = 704,340.90 × 284,043.24
  4. Step 4: Simplify right side
    510,402.60x = 200,063,271,300.52
  5. Step 5: Solve for x
    x = 200,063,271,300.52/510,402.60
  6. Step 6: Final answer
    x = 391,971.50

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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.