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Finding the Fourth Proportional to 860,978.35, 1,187,655.36 and 538,128.14

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Solution

The fourth proportional to 860,978.35, 1,187,655.36 and 538,128.14 is: 742,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,978.35 : 1,187,655.36 = 538,128.14 : x
  2. Step 2: Convert to fraction form
    860,978.35/1,187,655.36 = 538,128.14/x
  3. Step 3: Cross multiply
    860,978.35x = 1,187,655.36 × 538,128.14
  4. Step 4: Simplify right side
    860,978.35x = 639,110,769,837.83
  5. Step 5: Solve for x
    x = 639,110,769,837.83/860,978.35
  6. Step 6: Final answer
    x = 742,307.60

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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.