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Finding the Fourth Proportional to 471,870, 651,177.12 and 257,009.40

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Solution

The fourth proportional to 471,870, 651,177.12 and 257,009.40 is: 354,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,870 : 651,177.12 = 257,009.40 : x
  2. Step 2: Convert to fraction form
    471,870/651,177.12 = 257,009.40/x
  3. Step 3: Cross multiply
    471,870x = 651,177.12 × 257,009.40
  4. Step 4: Simplify right side
    471,870x = 167,358,640,904.93
  5. Step 5: Solve for x
    x = 167,358,640,904.93/471,870
  6. Step 6: Final answer
    x = 354,671.08

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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.