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Finding the Fourth Proportional to 539,533.60, 808,328.40 and 258,431.20

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Solution

The fourth proportional to 539,533.60, 808,328.40 and 258,431.20 is: 387,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,533.60 : 808,328.40 = 258,431.20 : x
  2. Step 2: Convert to fraction form
    539,533.60/808,328.40 = 258,431.20/x
  3. Step 3: Cross multiply
    539,533.60x = 808,328.40 × 258,431.20
  4. Step 4: Simplify right side
    539,533.60x = 208,897,278,406.08
  5. Step 5: Solve for x
    x = 208,897,278,406.08/539,533.60
  6. Step 6: Final answer
    x = 387,181.22

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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.