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Finding the Fourth Proportional to 781,870.50, 1,078,974 and 442,338.75

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Solution

The fourth proportional to 781,870.50, 1,078,974 and 442,338.75 is: 610,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,870.50 : 1,078,974 = 442,338.75 : x
  2. Step 2: Convert to fraction form
    781,870.50/1,078,974 = 442,338.75/x
  3. Step 3: Cross multiply
    781,870.50x = 1,078,974 × 442,338.75
  4. Step 4: Simplify right side
    781,870.50x = 477,272,010,442.50
  5. Step 5: Solve for x
    x = 477,272,010,442.50/781,870.50
  6. Step 6: Final answer
    x = 610,423.35

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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.