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Finding the Fourth Proportional to 610,529.80, 915,794.70 and 311,931.40

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Solution

The fourth proportional to 610,529.80, 915,794.70 and 311,931.40 is: 467,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,529.80 : 915,794.70 = 311,931.40 : x
  2. Step 2: Convert to fraction form
    610,529.80/915,794.70 = 311,931.40/x
  3. Step 3: Cross multiply
    610,529.80x = 915,794.70 × 311,931.40
  4. Step 4: Simplify right side
    610,529.80x = 285,665,122,883.58
  5. Step 5: Solve for x
    x = 285,665,122,883.58/610,529.80
  6. Step 6: Final answer
    x = 467,897.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.