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Finding the Fourth Proportional to 455,971.98, 683,971.86 and 156,448.32

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Solution

The fourth proportional to 455,971.98, 683,971.86 and 156,448.32 is: 234,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,971.98 : 683,971.86 = 156,448.32 : x
  2. Step 2: Convert to fraction form
    455,971.98/683,971.86 = 156,448.32/x
  3. Step 3: Cross multiply
    455,971.98x = 683,971.86 × 156,448.32
  4. Step 4: Simplify right side
    455,971.98x = 107,006,248,424.28
  5. Step 5: Solve for x
    x = 107,006,248,424.28/455,971.98
  6. Step 6: Final answer
    x = 234,677.25

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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.