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Finding the Fourth Proportional to 653,377.86, 901,638.14 and 366,910.02

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Solution

The fourth proportional to 653,377.86, 901,638.14 and 366,910.02 is: 506,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,377.86 : 901,638.14 = 366,910.02 : x
  2. Step 2: Convert to fraction form
    653,377.86/901,638.14 = 366,910.02/x
  3. Step 3: Cross multiply
    653,377.86x = 901,638.14 × 366,910.02
  4. Step 4: Simplify right side
    653,377.86x = 330,820,066,145.61
  5. Step 5: Solve for x
    x = 330,820,066,145.61/653,377.86
  6. Step 6: Final answer
    x = 506,322.74

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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.