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Finding the Fourth Proportional to 557,334.91, 769,117.84 and 302,686.10

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Solution

The fourth proportional to 557,334.91, 769,117.84 and 302,686.10 is: 417,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,334.91 : 769,117.84 = 302,686.10 : x
  2. Step 2: Convert to fraction form
    557,334.91/769,117.84 = 302,686.10/x
  3. Step 3: Cross multiply
    557,334.91x = 769,117.84 × 302,686.10
  4. Step 4: Simplify right side
    557,334.91x = 232,801,276,302.37
  5. Step 5: Solve for x
    x = 232,801,276,302.37/557,334.91
  6. Step 6: Final answer
    x = 417,704.46

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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.