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Finding the Fourth Proportional to 461,431.38, 692,142.78 and 145,888.32

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Solution

The fourth proportional to 461,431.38, 692,142.78 and 145,888.32 is: 218,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,431.38 : 692,142.78 = 145,888.32 : x
  2. Step 2: Convert to fraction form
    461,431.38/692,142.78 = 145,888.32/x
  3. Step 3: Cross multiply
    461,431.38x = 692,142.78 × 145,888.32
  4. Step 4: Simplify right side
    461,431.38x = 100,975,547,374.33
  5. Step 5: Solve for x
    x = 100,975,547,374.33/461,431.38
  6. Step 6: Final answer
    x = 218,831.12

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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.