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Finding the Fourth Proportional to 510,430.08, 704,393.48 and 284,129.04

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Solution

The fourth proportional to 510,430.08, 704,393.48 and 284,129.04 is: 392,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,430.08 : 704,393.48 = 284,129.04 : x
  2. Step 2: Convert to fraction form
    510,430.08/704,393.48 = 284,129.04/x
  3. Step 3: Cross multiply
    510,430.08x = 704,393.48 × 284,129.04
  4. Step 4: Simplify right side
    510,430.08x = 200,138,643,254.66
  5. Step 5: Solve for x
    x = 200,138,643,254.66/510,430.08
  6. Step 6: Final answer
    x = 392,098.06

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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.