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Finding the Fourth Proportional to 830,456.40, 1,146,141 and 467,950.80

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Solution

The fourth proportional to 830,456.40, 1,146,141 and 467,950.80 is: 645,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,456.40 : 1,146,141 = 467,950.80 : x
  2. Step 2: Convert to fraction form
    830,456.40/1,146,141 = 467,950.80/x
  3. Step 3: Cross multiply
    830,456.40x = 1,146,141 × 467,950.80
  4. Step 4: Simplify right side
    830,456.40x = 536,337,597,862.80
  5. Step 5: Solve for x
    x = 536,337,597,862.80/830,456.40
  6. Step 6: Final answer
    x = 645,834.75

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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.