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Finding the Fourth Proportional to 716,380.32, 988,495.20 and 414,516

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Solution

The fourth proportional to 716,380.32, 988,495.20 and 414,516 is: 571,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,380.32 : 988,495.20 = 414,516 : x
  2. Step 2: Convert to fraction form
    716,380.32/988,495.20 = 414,516/x
  3. Step 3: Cross multiply
    716,380.32x = 988,495.20 × 414,516
  4. Step 4: Simplify right side
    716,380.32x = 409,747,076,323.20
  5. Step 5: Solve for x
    x = 409,747,076,323.20/716,380.32
  6. Step 6: Final answer
    x = 571,968.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.