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Finding the Fourth Proportional to 460,142.40, 690,077.40 and 207,276.72

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Solution

The fourth proportional to 460,142.40, 690,077.40 and 207,276.72 is: 310,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,142.40 : 690,077.40 = 207,276.72 : x
  2. Step 2: Convert to fraction form
    460,142.40/690,077.40 = 207,276.72/x
  3. Step 3: Cross multiply
    460,142.40x = 690,077.40 × 207,276.72
  4. Step 4: Simplify right side
    460,142.40x = 143,036,980,018.13
  5. Step 5: Solve for x
    x = 143,036,980,018.13/460,142.40
  6. Step 6: Final answer
    x = 310,853.73

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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.