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Finding the Fourth Proportional to 847,338, 1,169,430.20 and 489,642

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Solution

The fourth proportional to 847,338, 1,169,430.20 and 489,642 is: 675,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,338 : 1,169,430.20 = 489,642 : x
  2. Step 2: Convert to fraction form
    847,338/1,169,430.20 = 489,642/x
  3. Step 3: Cross multiply
    847,338x = 1,169,430.20 × 489,642
  4. Step 4: Simplify right side
    847,338x = 572,602,141,988.40
  5. Step 5: Solve for x
    x = 572,602,141,988.40/847,338
  6. Step 6: Final answer
    x = 675,765.92

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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.