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Finding the Fourth Proportional to 428,878.08, 643,628.16 and 242,254.08

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Solution

The fourth proportional to 428,878.08, 643,628.16 and 242,254.08 is: 363,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,878.08 : 643,628.16 = 242,254.08 : x
  2. Step 2: Convert to fraction form
    428,878.08/643,628.16 = 242,254.08/x
  3. Step 3: Cross multiply
    428,878.08x = 643,628.16 × 242,254.08
  4. Step 4: Simplify right side
    428,878.08x = 155,921,547,762.89
  5. Step 5: Solve for x
    x = 155,921,547,762.89/428,878.08
  6. Step 6: Final answer
    x = 363,556.81

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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.