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Finding the Fourth Proportional to 290,289.40, 435,461.58 and 112,810.10

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Solution

The fourth proportional to 290,289.40, 435,461.58 and 112,810.10 is: 169,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,289.40 : 435,461.58 = 112,810.10 : x
  2. Step 2: Convert to fraction form
    290,289.40/435,461.58 = 112,810.10/x
  3. Step 3: Cross multiply
    290,289.40x = 435,461.58 × 112,810.10
  4. Step 4: Simplify right side
    290,289.40x = 49,124,462,208.65
  5. Step 5: Solve for x
    x = 49,124,462,208.65/290,289.40
  6. Step 6: Final answer
    x = 169,225.82

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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.