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Finding the Fourth Proportional to 515,090.72, 710,822.96 and 288,736.24

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Solution

The fourth proportional to 515,090.72, 710,822.96 and 288,736.24 is: 398,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,090.72 : 710,822.96 = 288,736.24 : x
  2. Step 2: Convert to fraction form
    515,090.72/710,822.96 = 288,736.24/x
  3. Step 3: Cross multiply
    515,090.72x = 710,822.96 × 288,736.24
  4. Step 4: Simplify right side
    515,090.72x = 205,240,348,776.07
  5. Step 5: Solve for x
    x = 205,240,348,776.07/515,090.72
  6. Step 6: Final answer
    x = 398,454.76

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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.