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Finding the Fourth Proportional to 402,847.20, 604,708.20 and 253,256.40

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Solution

The fourth proportional to 402,847.20, 604,708.20 and 253,256.40 is: 380,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,847.20 : 604,708.20 = 253,256.40 : x
  2. Step 2: Convert to fraction form
    402,847.20/604,708.20 = 253,256.40/x
  3. Step 3: Cross multiply
    402,847.20x = 604,708.20 × 253,256.40
  4. Step 4: Simplify right side
    402,847.20x = 153,146,221,782.48
  5. Step 5: Solve for x
    x = 153,146,221,782.48/402,847.20
  6. Step 6: Final answer
    x = 380,159.58

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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.