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Finding the Fourth Proportional to 557,407.17, 769,225.95 and 302,758.43

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Solution

The fourth proportional to 557,407.17, 769,225.95 and 302,758.43 is: 417,808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,407.17 : 769,225.95 = 302,758.43 : x
  2. Step 2: Convert to fraction form
    557,407.17/769,225.95 = 302,758.43/x
  3. Step 3: Cross multiply
    557,407.17x = 769,225.95 × 302,758.43
  4. Step 4: Simplify right side
    557,407.17x = 232,889,637,091.13
  5. Step 5: Solve for x
    x = 232,889,637,091.13/557,407.17
  6. Step 6: Final answer
    x = 417,808.83

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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.