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Finding the Fourth Proportional to 510,407.60, 704,347.78 and 284,048.24

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Solution

The fourth proportional to 510,407.60, 704,347.78 and 284,048.24 is: 391,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,407.60 : 704,347.78 = 284,048.24 : x
  2. Step 2: Convert to fraction form
    510,407.60/704,347.78 = 284,048.24/x
  3. Step 3: Cross multiply
    510,407.60x = 704,347.78 × 284,048.24
  4. Step 4: Simplify right side
    510,407.60x = 200,068,747,256.91
  5. Step 5: Solve for x
    x = 200,068,747,256.91/510,407.60
  6. Step 6: Final answer
    x = 391,978.39

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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.