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Finding the Fourth Proportional to 418,430.96, 577,446 and 227,457.32

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Solution

The fourth proportional to 418,430.96, 577,446 and 227,457.32 is: 313,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,430.96 : 577,446 = 227,457.32 : x
  2. Step 2: Convert to fraction form
    418,430.96/577,446 = 227,457.32/x
  3. Step 3: Cross multiply
    418,430.96x = 577,446 × 227,457.32
  4. Step 4: Simplify right side
    418,430.96x = 131,344,319,604.72
  5. Step 5: Solve for x
    x = 131,344,319,604.72/418,430.96
  6. Step 6: Final answer
    x = 313,897.23

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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.