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Finding the Fourth Proportional to 786,492, 1,179,742.32 and 195,516

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Solution

The fourth proportional to 786,492, 1,179,742.32 and 195,516 is: 293,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,492 : 1,179,742.32 = 195,516 : x
  2. Step 2: Convert to fraction form
    786,492/1,179,742.32 = 195,516/x
  3. Step 3: Cross multiply
    786,492x = 1,179,742.32 × 195,516
  4. Step 4: Simplify right side
    786,492x = 230,658,499,437.12
  5. Step 5: Solve for x
    x = 230,658,499,437.12/786,492
  6. Step 6: Final answer
    x = 293,275.07

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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.