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Finding the Fourth Proportional to 556,401.82, 767,875.74 and 311,411.08

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Solution

The fourth proportional to 556,401.82, 767,875.74 and 311,411.08 is: 429,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,401.82 : 767,875.74 = 311,411.08 : x
  2. Step 2: Convert to fraction form
    556,401.82/767,875.74 = 311,411.08/x
  3. Step 3: Cross multiply
    556,401.82x = 767,875.74 × 311,411.08
  4. Step 4: Simplify right side
    556,401.82x = 239,125,013,499.20
  5. Step 5: Solve for x
    x = 239,125,013,499.20/556,401.82
  6. Step 6: Final answer
    x = 429,770.37

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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.