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Finding the Fourth Proportional to 290,252.58, 435,547.02 and 121,758

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Solution

The fourth proportional to 290,252.58, 435,547.02 and 121,758 is: 182,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,252.58 : 435,547.02 = 121,758 : x
  2. Step 2: Convert to fraction form
    290,252.58/435,547.02 = 121,758/x
  3. Step 3: Cross multiply
    290,252.58x = 435,547.02 × 121,758
  4. Step 4: Simplify right side
    290,252.58x = 53,031,334,061.16
  5. Step 5: Solve for x
    x = 53,031,334,061.16/290,252.58
  6. Step 6: Final answer
    x = 182,707.54

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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.