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Finding the Fourth Proportional to 357,815.70, 536,723.55 and 342,458.10

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Solution

The fourth proportional to 357,815.70, 536,723.55 and 342,458.10 is: 513,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,815.70 : 536,723.55 = 342,458.10 : x
  2. Step 2: Convert to fraction form
    357,815.70/536,723.55 = 342,458.10/x
  3. Step 3: Cross multiply
    357,815.70x = 536,723.55 × 342,458.10
  4. Step 4: Simplify right side
    357,815.70x = 183,805,327,158.26
  5. Step 5: Solve for x
    x = 183,805,327,158.26/357,815.70
  6. Step 6: Final answer
    x = 513,687.15

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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.