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Finding the Fourth Proportional to 282,378.59, 423,457.18 and 102,421.16

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Solution

The fourth proportional to 282,378.59, 423,457.18 and 102,421.16 is: 153,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,378.59 : 423,457.18 = 102,421.16 : x
  2. Step 2: Convert to fraction form
    282,378.59/423,457.18 = 102,421.16/x
  3. Step 3: Cross multiply
    282,378.59x = 423,457.18 × 102,421.16
  4. Step 4: Simplify right side
    282,378.59x = 43,370,973,212.59
  5. Step 5: Solve for x
    x = 43,370,973,212.59/282,378.59
  6. Step 6: Final answer
    x = 153,591.58

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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.