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Finding the Fourth Proportional to 316,946, 437,307.16 and 187,914.76

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Solution

The fourth proportional to 316,946, 437,307.16 and 187,914.76 is: 259,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,946 : 437,307.16 = 187,914.76 : x
  2. Step 2: Convert to fraction form
    316,946/437,307.16 = 187,914.76/x
  3. Step 3: Cross multiply
    316,946x = 437,307.16 × 187,914.76
  4. Step 4: Simplify right side
    316,946x = 82,176,470,017.68
  5. Step 5: Solve for x
    x = 82,176,470,017.68/316,946
  6. Step 6: Final answer
    x = 259,275.93

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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.