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Finding the Fourth Proportional to 427,830.48, 590,220.68 and 257,970.24

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Solution

The fourth proportional to 427,830.48, 590,220.68 and 257,970.24 is: 355,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,830.48 : 590,220.68 = 257,970.24 : x
  2. Step 2: Convert to fraction form
    427,830.48/590,220.68 = 257,970.24/x
  3. Step 3: Cross multiply
    427,830.48x = 590,220.68 × 257,970.24
  4. Step 4: Simplify right side
    427,830.48x = 152,259,370,472.56
  5. Step 5: Solve for x
    x = 152,259,370,472.56/427,830.48
  6. Step 6: Final answer
    x = 355,887.15

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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.