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Finding the Fourth Proportional to 290,209.74, 435,482.73 and 121,715.06

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Solution

The fourth proportional to 290,209.74, 435,482.73 and 121,715.06 is: 182,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,209.74 : 435,482.73 = 121,715.06 : x
  2. Step 2: Convert to fraction form
    290,209.74/435,482.73 = 121,715.06/x
  3. Step 3: Cross multiply
    290,209.74x = 435,482.73 × 121,715.06
  4. Step 4: Simplify right side
    290,209.74x = 53,004,804,433.50
  5. Step 5: Solve for x
    x = 53,004,804,433.50/290,209.74
  6. Step 6: Final answer
    x = 182,643.10

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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.