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Finding the Fourth Proportional to 557,283.57, 769,070.36 and 312,278.67

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Solution

The fourth proportional to 557,283.57, 769,070.36 and 312,278.67 is: 430,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,283.57 : 769,070.36 = 312,278.67 : x
  2. Step 2: Convert to fraction form
    557,283.57/769,070.36 = 312,278.67/x
  3. Step 3: Cross multiply
    557,283.57x = 769,070.36 × 312,278.67
  4. Step 4: Simplify right side
    557,283.57x = 240,164,267,595.83
  5. Step 5: Solve for x
    x = 240,164,267,595.83/557,283.57
  6. Step 6: Final answer
    x = 430,955.23

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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.