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Finding the Fourth Proportional to 523,316.40, 785,849.40 and 346,606.80

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Solution

The fourth proportional to 523,316.40, 785,849.40 and 346,606.80 is: 520,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,316.40 : 785,849.40 = 346,606.80 : x
  2. Step 2: Convert to fraction form
    523,316.40/785,849.40 = 346,606.80/x
  3. Step 3: Cross multiply
    523,316.40x = 785,849.40 × 346,606.80
  4. Step 4: Simplify right side
    523,316.40x = 272,380,745,815.92
  5. Step 5: Solve for x
    x = 272,380,745,815.92/523,316.40
  6. Step 6: Final answer
    x = 520,489.60

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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.