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Finding the Fourth Proportional to 698,471.21, 964,153.59 and 408,177.02

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Solution

The fourth proportional to 698,471.21, 964,153.59 and 408,177.02 is: 563,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,471.21 : 964,153.59 = 408,177.02 : x
  2. Step 2: Convert to fraction form
    698,471.21/964,153.59 = 408,177.02/x
  3. Step 3: Cross multiply
    698,471.21x = 964,153.59 × 408,177.02
  4. Step 4: Simplify right side
    698,471.21x = 393,545,341,598.89
  5. Step 5: Solve for x
    x = 393,545,341,598.89/698,471.21
  6. Step 6: Final answer
    x = 563,438.18

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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.