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Finding the Fourth Proportional to 506,870.33, 699,405.78 and 307,856

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Solution

The fourth proportional to 506,870.33, 699,405.78 and 307,856 is: 424,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,870.33 : 699,405.78 = 307,856 : x
  2. Step 2: Convert to fraction form
    506,870.33/699,405.78 = 307,856/x
  3. Step 3: Cross multiply
    506,870.33x = 699,405.78 × 307,856
  4. Step 4: Simplify right side
    506,870.33x = 215,316,265,807.68
  5. Step 5: Solve for x
    x = 215,316,265,807.68/506,870.33
  6. Step 6: Final answer
    x = 424,795.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.