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Finding the Fourth Proportional to 535,640.66, 803,038.28 and 265,582.60

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Solution

The fourth proportional to 535,640.66, 803,038.28 and 265,582.60 is: 398,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,640.66 : 803,038.28 = 265,582.60 : x
  2. Step 2: Convert to fraction form
    535,640.66/803,038.28 = 265,582.60/x
  3. Step 3: Cross multiply
    535,640.66x = 803,038.28 × 265,582.60
  4. Step 4: Simplify right side
    535,640.66x = 213,272,994,301.93
  5. Step 5: Solve for x
    x = 213,272,994,301.93/535,640.66
  6. Step 6: Final answer
    x = 398,164.31

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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.