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Finding the Fourth Proportional to 310,062.40, 465,172.80 and 99,702.40

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Solution

The fourth proportional to 310,062.40, 465,172.80 and 99,702.40 is: 149,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,062.40 : 465,172.80 = 99,702.40 : x
  2. Step 2: Convert to fraction form
    310,062.40/465,172.80 = 99,702.40/x
  3. Step 3: Cross multiply
    310,062.40x = 465,172.80 × 99,702.40
  4. Step 4: Simplify right side
    310,062.40x = 46,378,844,574.72
  5. Step 5: Solve for x
    x = 46,378,844,574.72/310,062.40
  6. Step 6: Final answer
    x = 149,579.07

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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.