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Finding the Fourth Proportional to 557,113.40, 768,817.76 and 302,459.12

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Solution

The fourth proportional to 557,113.40, 768,817.76 and 302,459.12 is: 417,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,113.40 : 768,817.76 = 302,459.12 : x
  2. Step 2: Convert to fraction form
    557,113.40/768,817.76 = 302,459.12/x
  3. Step 3: Cross multiply
    557,113.40x = 768,817.76 × 302,459.12
  4. Step 4: Simplify right side
    557,113.40x = 232,535,937,773.59
  5. Step 5: Solve for x
    x = 232,535,937,773.59/557,113.40
  6. Step 6: Final answer
    x = 417,394.27

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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.