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Finding the Fourth Proportional to 314,649.93, 471,966.26 and 77,987.37

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Solution

The fourth proportional to 314,649.93, 471,966.26 and 77,987.37 is: 116,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,649.93 : 471,966.26 = 77,987.37 : x
  2. Step 2: Convert to fraction form
    314,649.93/471,966.26 = 77,987.37/x
  3. Step 3: Cross multiply
    314,649.93x = 471,966.26 × 77,987.37
  4. Step 4: Simplify right side
    314,649.93x = 36,807,406,956.20
  5. Step 5: Solve for x
    x = 36,807,406,956.20/314,649.93
  6. Step 6: Final answer
    x = 116,978.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.