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Finding the Fourth Proportional to 557,945.66, 769,948.80 and 316,250.48

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Solution

The fourth proportional to 557,945.66, 769,948.80 and 316,250.48 is: 436,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,945.66 : 769,948.80 = 316,250.48 : x
  2. Step 2: Convert to fraction form
    557,945.66/769,948.80 = 316,250.48/x
  3. Step 3: Cross multiply
    557,945.66x = 769,948.80 × 316,250.48
  4. Step 4: Simplify right side
    557,945.66x = 243,496,677,575.42
  5. Step 5: Solve for x
    x = 243,496,677,575.42/557,945.66
  6. Step 6: Final answer
    x = 436,416.47

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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.