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Finding the Fourth Proportional to 557,994.52, 770,038.91 and 309,641.57

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Solution

The fourth proportional to 557,994.52, 770,038.91 and 309,641.57 is: 427,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,994.52 : 770,038.91 = 309,641.57 : x
  2. Step 2: Convert to fraction form
    557,994.52/770,038.91 = 309,641.57/x
  3. Step 3: Cross multiply
    557,994.52x = 770,038.91 × 309,641.57
  4. Step 4: Simplify right side
    557,994.52x = 238,436,058,680.34
  5. Step 5: Solve for x
    x = 238,436,058,680.34/557,994.52
  6. Step 6: Final answer
    x = 427,308.96

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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.