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Finding the Fourth Proportional to 860,106.98, 1,186,978.10 and 472,951.88

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Solution

The fourth proportional to 860,106.98, 1,186,978.10 and 472,951.88 is: 652,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,106.98 : 1,186,978.10 = 472,951.88 : x
  2. Step 2: Convert to fraction form
    860,106.98/1,186,978.10 = 472,951.88/x
  3. Step 3: Cross multiply
    860,106.98x = 1,186,978.10 × 472,951.88
  4. Step 4: Simplify right side
    860,106.98x = 561,383,523,913.83
  5. Step 5: Solve for x
    x = 561,383,523,913.83/860,106.98
  6. Step 6: Final answer
    x = 652,690.35

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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.