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Finding the Fourth Proportional to 559,636, 772,275.14 and 304,981.72

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Solution

The fourth proportional to 559,636, 772,275.14 and 304,981.72 is: 420,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,636 : 772,275.14 = 304,981.72 : x
  2. Step 2: Convert to fraction form
    559,636/772,275.14 = 304,981.72/x
  3. Step 3: Cross multiply
    559,636x = 772,275.14 × 304,981.72
  4. Step 4: Simplify right side
    559,636x = 235,529,800,510.44
  5. Step 5: Solve for x
    x = 235,529,800,510.44/559,636
  6. Step 6: Final answer
    x = 420,862.49

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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.