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Finding the Fourth Proportional to 706,431.63, 977,442.76 and 615,976.10

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Solution

The fourth proportional to 706,431.63, 977,442.76 and 615,976.10 is: 852,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,431.63 : 977,442.76 = 615,976.10 : x
  2. Step 2: Convert to fraction form
    706,431.63/977,442.76 = 615,976.10/x
  3. Step 3: Cross multiply
    706,431.63x = 977,442.76 × 615,976.10
  4. Step 4: Simplify right side
    706,431.63x = 602,081,379,278.04
  5. Step 5: Solve for x
    x = 602,081,379,278.04/706,431.63
  6. Step 6: Final answer
    x = 852,285.42

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1.5x scale

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.