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Finding the Fourth Proportional to 557,309.18, 769,057.98 and 302,659.76

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Solution

The fourth proportional to 557,309.18, 769,057.98 and 302,659.76 is: 417,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,309.18 : 769,057.98 = 302,659.76 : x
  2. Step 2: Convert to fraction form
    557,309.18/769,057.98 = 302,659.76/x
  3. Step 3: Cross multiply
    557,309.18x = 769,057.98 × 302,659.76
  4. Step 4: Simplify right side
    557,309.18x = 232,762,899,807.60
  5. Step 5: Solve for x
    x = 232,762,899,807.60/557,309.18
  6. Step 6: Final answer
    x = 417,654.89

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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.