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Finding the Fourth Proportional to 706,419.14, 977,425.52 and 615,963.60

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Solution

The fourth proportional to 706,419.14, 977,425.52 and 615,963.60 is: 852,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,419.14 : 977,425.52 = 615,963.60 : x
  2. Step 2: Convert to fraction form
    706,419.14/977,425.52 = 615,963.60/x
  3. Step 3: Cross multiply
    706,419.14x = 977,425.52 × 615,963.60
  4. Step 4: Simplify right side
    706,419.14x = 602,058,542,031.07
  5. Step 5: Solve for x
    x = 602,058,542,031.07/706,419.14
  6. Step 6: Final answer
    x = 852,268.16

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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.