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Finding the Fourth Proportional to 511,312.40, 767,746.20 and 393,117.20

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Solution

The fourth proportional to 511,312.40, 767,746.20 and 393,117.20 is: 590,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,312.40 : 767,746.20 = 393,117.20 : x
  2. Step 2: Convert to fraction form
    511,312.40/767,746.20 = 393,117.20/x
  3. Step 3: Cross multiply
    511,312.40x = 767,746.20 × 393,117.20
  4. Step 4: Simplify right side
    511,312.40x = 301,814,236,454.64
  5. Step 5: Solve for x
    x = 301,814,236,454.64/511,312.40
  6. Step 6: Final answer
    x = 590,273.65

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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.