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Finding the Fourth Proportional to 660,435.40, 989,486.70 and 410,825.80

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Solution

The fourth proportional to 660,435.40, 989,486.70 and 410,825.80 is: 615,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,435.40 : 989,486.70 = 410,825.80 : x
  2. Step 2: Convert to fraction form
    660,435.40/989,486.70 = 410,825.80/x
  3. Step 3: Cross multiply
    660,435.40x = 989,486.70 × 410,825.80
  4. Step 4: Simplify right side
    660,435.40x = 406,506,665,116.86
  5. Step 5: Solve for x
    x = 406,506,665,116.86/660,435.40
  6. Step 6: Final answer
    x = 615,513.14

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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.