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Finding the Fourth Proportional to 360,430.31, 497,355.76 and 199,259.34

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Solution

The fourth proportional to 360,430.31, 497,355.76 and 199,259.34 is: 274,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,430.31 : 497,355.76 = 199,259.34 : x
  2. Step 2: Convert to fraction form
    360,430.31/497,355.76 = 199,259.34/x
  3. Step 3: Cross multiply
    360,430.31x = 497,355.76 × 199,259.34
  4. Step 4: Simplify right side
    360,430.31x = 99,102,781,664.41
  5. Step 5: Solve for x
    x = 99,102,781,664.41/360,430.31
  6. Step 6: Final answer
    x = 274,956.85

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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.