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Finding the Fourth Proportional to 556,278.08, 767,678.85 and 314,596.76

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Solution

The fourth proportional to 556,278.08, 767,678.85 and 314,596.76 is: 434,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,278.08 : 767,678.85 = 314,596.76 : x
  2. Step 2: Convert to fraction form
    556,278.08/767,678.85 = 314,596.76/x
  3. Step 3: Cross multiply
    556,278.08x = 767,678.85 × 314,596.76
  4. Step 4: Simplify right side
    556,278.08x = 241,509,275,092.13
  5. Step 5: Solve for x
    x = 241,509,275,092.13/556,278.08
  6. Step 6: Final answer
    x = 434,152.07

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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.