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Finding the Fourth Proportional to 261,473.10, 392,339.28 and 103,698.06

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Solution

The fourth proportional to 261,473.10, 392,339.28 and 103,698.06 is: 155,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,473.10 : 392,339.28 = 103,698.06 : x
  2. Step 2: Convert to fraction form
    261,473.10/392,339.28 = 103,698.06/x
  3. Step 3: Cross multiply
    261,473.10x = 392,339.28 × 103,698.06
  4. Step 4: Simplify right side
    261,473.10x = 40,684,822,197.80
  5. Step 5: Solve for x
    x = 40,684,822,197.80/261,473.10
  6. Step 6: Final answer
    x = 155,598.50

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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.