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Finding the Fourth Proportional to 557,549.76, 769,416.66 and 302,898.72

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Solution

The fourth proportional to 557,549.76, 769,416.66 and 302,898.72 is: 417,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,549.76 : 769,416.66 = 302,898.72 : x
  2. Step 2: Convert to fraction form
    557,549.76/769,416.66 = 302,898.72/x
  3. Step 3: Cross multiply
    557,549.76x = 769,416.66 × 302,898.72
  4. Step 4: Simplify right side
    557,549.76x = 233,055,321,460.68
  5. Step 5: Solve for x
    x = 233,055,321,460.68/557,549.76
  6. Step 6: Final answer
    x = 417,999.14

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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.