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Finding the Fourth Proportional to 1,178,850, 1,626,813 and 642,306

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Solution

The fourth proportional to 1,178,850, 1,626,813 and 642,306 is: 886,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,850 : 1,626,813 = 642,306 : x
  2. Step 2: Convert to fraction form
    1,178,850/1,626,813 = 642,306/x
  3. Step 3: Cross multiply
    1,178,850x = 1,626,813 × 642,306
  4. Step 4: Simplify right side
    1,178,850x = 1,044,911,750,778
  5. Step 5: Solve for x
    x = 1,044,911,750,778/1,178,850
  6. Step 6: Final answer
    x = 886,382.28

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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.