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Finding the Fourth Proportional to 524,941.40, 724,418.94 and 286,477.40

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Solution

The fourth proportional to 524,941.40, 724,418.94 and 286,477.40 is: 395,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,941.40 : 724,418.94 = 286,477.40 : x
  2. Step 2: Convert to fraction form
    524,941.40/724,418.94 = 286,477.40/x
  3. Step 3: Cross multiply
    524,941.40x = 724,418.94 × 286,477.40
  4. Step 4: Simplify right side
    524,941.40x = 207,529,654,441.96
  5. Step 5: Solve for x
    x = 207,529,654,441.96/524,941.40
  6. Step 6: Final answer
    x = 395,338.71

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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.