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Finding the Fourth Proportional to 497,846.26, 745,440.78 and 260,690.40

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Solution

The fourth proportional to 497,846.26, 745,440.78 and 260,690.40 is: 390,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,846.26 : 745,440.78 = 260,690.40 : x
  2. Step 2: Convert to fraction form
    497,846.26/745,440.78 = 260,690.40/x
  3. Step 3: Cross multiply
    497,846.26x = 745,440.78 × 260,690.40
  4. Step 4: Simplify right side
    497,846.26x = 194,329,255,114.51
  5. Step 5: Solve for x
    x = 194,329,255,114.51/497,846.26
  6. Step 6: Final answer
    x = 390,339.89

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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.