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Finding the Fourth Proportional to 539,531.60, 808,325.40 and 258,429.20

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Solution

The fourth proportional to 539,531.60, 808,325.40 and 258,429.20 is: 387,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,531.60 : 808,325.40 = 258,429.20 : x
  2. Step 2: Convert to fraction form
    539,531.60/808,325.40 = 258,429.20/x
  3. Step 3: Cross multiply
    539,531.60x = 808,325.40 × 258,429.20
  4. Step 4: Simplify right side
    539,531.60x = 208,894,886,461.68
  5. Step 5: Solve for x
    x = 208,894,886,461.68/539,531.60
  6. Step 6: Final answer
    x = 387,178.22

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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.