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Finding the Fourth Proportional to 524,604.23, 724,009.90 and 320,774.62

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Solution

The fourth proportional to 524,604.23, 724,009.90 and 320,774.62 is: 442,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,604.23 : 724,009.90 = 320,774.62 : x
  2. Step 2: Convert to fraction form
    524,604.23/724,009.90 = 320,774.62/x
  3. Step 3: Cross multiply
    524,604.23x = 724,009.90 × 320,774.62
  4. Step 4: Simplify right side
    524,604.23x = 232,243,996,928.69
  5. Step 5: Solve for x
    x = 232,243,996,928.69/524,604.23
  6. Step 6: Final answer
    x = 442,703.25

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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.