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Finding the Fourth Proportional to 562,511.76, 776,286.01 and 307,862.88

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Solution

The fourth proportional to 562,511.76, 776,286.01 and 307,862.88 is: 424,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,511.76 : 776,286.01 = 307,862.88 : x
  2. Step 2: Convert to fraction form
    562,511.76/776,286.01 = 307,862.88/x
  3. Step 3: Cross multiply
    562,511.76x = 776,286.01 × 307,862.88
  4. Step 4: Simplify right side
    562,511.76x = 238,989,646,742.31
  5. Step 5: Solve for x
    x = 238,989,646,742.31/562,511.76
  6. Step 6: Final answer
    x = 424,861.60

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1.5x scale

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.