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Finding the Fourth Proportional to 260,573.76, 390,938.40 and 149,688

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Solution

The fourth proportional to 260,573.76, 390,938.40 and 149,688 is: 224,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,573.76 : 390,938.40 = 149,688 : x
  2. Step 2: Convert to fraction form
    260,573.76/390,938.40 = 149,688/x
  3. Step 3: Cross multiply
    260,573.76x = 390,938.40 × 149,688
  4. Step 4: Simplify right side
    260,573.76x = 58,518,787,219.20
  5. Step 5: Solve for x
    x = 58,518,787,219.20/260,573.76
  6. Step 6: Final answer
    x = 224,576.67

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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.