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Finding the Fourth Proportional to 506,003.34, 698,261.67 and 312,497.58

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Solution

The fourth proportional to 506,003.34, 698,261.67 and 312,497.58 is: 431,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,003.34 : 698,261.67 = 312,497.58 : x
  2. Step 2: Convert to fraction form
    506,003.34/698,261.67 = 312,497.58/x
  3. Step 3: Cross multiply
    506,003.34x = 698,261.67 × 312,497.58
  4. Step 4: Simplify right side
    506,003.34x = 218,205,082,081.76
  5. Step 5: Solve for x
    x = 218,205,082,081.76/506,003.34
  6. Step 6: Final answer
    x = 431,232.49

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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.