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Finding the Fourth Proportional to 294,777.76, 406,381.40 and 249,273.18

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Solution

The fourth proportional to 294,777.76, 406,381.40 and 249,273.18 is: 343,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,777.76 : 406,381.40 = 249,273.18 : x
  2. Step 2: Convert to fraction form
    294,777.76/406,381.40 = 249,273.18/x
  3. Step 3: Cross multiply
    294,777.76x = 406,381.40 × 249,273.18
  4. Step 4: Simplify right side
    294,777.76x = 101,299,983,870.85
  5. Step 5: Solve for x
    x = 101,299,983,870.85/294,777.76
  6. Step 6: Final answer
    x = 343,648.67

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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.