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Finding the Fourth Proportional to 567,085.70, 782,577.81 and 312,436.89

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Solution

The fourth proportional to 567,085.70, 782,577.81 and 312,436.89 is: 431,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,085.70 : 782,577.81 = 312,436.89 : x
  2. Step 2: Convert to fraction form
    567,085.70/782,577.81 = 312,436.89/x
  3. Step 3: Cross multiply
    567,085.70x = 782,577.81 × 312,436.89
  4. Step 4: Simplify right side
    567,085.70x = 244,506,177,139.41
  5. Step 5: Solve for x
    x = 244,506,177,139.41/567,085.70
  6. Step 6: Final answer
    x = 431,162.66

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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.