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Finding the Fourth Proportional to 557,854.08, 769,855.80 and 316,130.40

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Solution

The fourth proportional to 557,854.08, 769,855.80 and 316,130.40 is: 436,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,854.08 : 769,855.80 = 316,130.40 : x
  2. Step 2: Convert to fraction form
    557,854.08/769,855.80 = 316,130.40/x
  3. Step 3: Cross multiply
    557,854.08x = 769,855.80 × 316,130.40
  4. Step 4: Simplify right side
    557,854.08x = 243,374,821,996.32
  5. Step 5: Solve for x
    x = 243,374,821,996.32/557,854.08
  6. Step 6: Final answer
    x = 436,269.68

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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.