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Finding the Fourth Proportional to 403,708.16, 557,090.52 and 242,570

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Solution

The fourth proportional to 403,708.16, 557,090.52 and 242,570 is: 334,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,708.16 : 557,090.52 = 242,570 : x
  2. Step 2: Convert to fraction form
    403,708.16/557,090.52 = 242,570/x
  3. Step 3: Cross multiply
    403,708.16x = 557,090.52 × 242,570
  4. Step 4: Simplify right side
    403,708.16x = 135,133,447,436.40
  5. Step 5: Solve for x
    x = 135,133,447,436.40/403,708.16
  6. Step 6: Final answer
    x = 334,730.53

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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.