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Finding the Fourth Proportional to 556,178.96, 767,497.32 and 314,447.12

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Solution

The fourth proportional to 556,178.96, 767,497.32 and 314,447.12 is: 433,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,178.96 : 767,497.32 = 314,447.12 : x
  2. Step 2: Convert to fraction form
    556,178.96/767,497.32 = 314,447.12/x
  3. Step 3: Cross multiply
    556,178.96x = 767,497.32 × 314,447.12
  4. Step 4: Simplify right side
    556,178.96x = 241,337,321,881.72
  5. Step 5: Solve for x
    x = 241,337,321,881.72/556,178.96
  6. Step 6: Final answer
    x = 433,920.27

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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.