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Finding the Fourth Proportional to 680,409, 938,964.51 and 370,312.74

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Solution

The fourth proportional to 680,409, 938,964.51 and 370,312.74 is: 511,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,409 : 938,964.51 = 370,312.74 : x
  2. Step 2: Convert to fraction form
    680,409/938,964.51 = 370,312.74/x
  3. Step 3: Cross multiply
    680,409x = 938,964.51 × 370,312.74
  4. Step 4: Simplify right side
    680,409x = 347,710,520,460.86
  5. Step 5: Solve for x
    x = 347,710,520,460.86/680,409
  6. Step 6: Final answer
    x = 511,031.63

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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.