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Finding the Fourth Proportional to 264,085.60, 396,225.60 and 86,598.40

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Solution

The fourth proportional to 264,085.60, 396,225.60 and 86,598.40 is: 129,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,085.60 : 396,225.60 = 86,598.40 : x
  2. Step 2: Convert to fraction form
    264,085.60/396,225.60 = 86,598.40/x
  3. Step 3: Cross multiply
    264,085.60x = 396,225.60 × 86,598.40
  4. Step 4: Simplify right side
    264,085.60x = 34,312,502,999.04
  5. Step 5: Solve for x
    x = 34,312,502,999.04/264,085.60
  6. Step 6: Final answer
    x = 129,929.47

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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.