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Finding the Fourth Proportional to 666,642.47, 919,959.93 and 360,712.14

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Solution

The fourth proportional to 666,642.47, 919,959.93 and 360,712.14 is: 497,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,642.47 : 919,959.93 = 360,712.14 : x
  2. Step 2: Convert to fraction form
    666,642.47/919,959.93 = 360,712.14/x
  3. Step 3: Cross multiply
    666,642.47x = 919,959.93 × 360,712.14
  4. Step 4: Simplify right side
    666,642.47x = 331,840,715,064.55
  5. Step 5: Solve for x
    x = 331,840,715,064.55/666,642.47
  6. Step 6: Final answer
    x = 497,779.14

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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.