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Finding the Fourth Proportional to 390,104.98, 584,991.32 and 153,281.53

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Solution

The fourth proportional to 390,104.98, 584,991.32 and 153,281.53 is: 229,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,104.98 : 584,991.32 = 153,281.53 : x
  2. Step 2: Convert to fraction form
    390,104.98/584,991.32 = 153,281.53/x
  3. Step 3: Cross multiply
    390,104.98x = 584,991.32 × 153,281.53
  4. Step 4: Simplify right side
    390,104.98x = 89,668,364,531.15
  5. Step 5: Solve for x
    x = 89,668,364,531.15/390,104.98
  6. Step 6: Final answer
    x = 229,857.01

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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.