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Finding the Fourth Proportional to 410,881.80, 616,322.70 and 210,923.40

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Solution

The fourth proportional to 410,881.80, 616,322.70 and 210,923.40 is: 316,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,881.80 : 616,322.70 = 210,923.40 : x
  2. Step 2: Convert to fraction form
    410,881.80/616,322.70 = 210,923.40/x
  3. Step 3: Cross multiply
    410,881.80x = 616,322.70 × 210,923.40
  4. Step 4: Simplify right side
    410,881.80x = 129,996,879,381.18
  5. Step 5: Solve for x
    x = 129,996,879,381.18/410,881.80
  6. Step 6: Final answer
    x = 316,385.10

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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.