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Finding the Fourth Proportional to 506,868.33, 699,403.02 and 307,854

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Solution

The fourth proportional to 506,868.33, 699,403.02 and 307,854 is: 424,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,868.33 : 699,403.02 = 307,854 : x
  2. Step 2: Convert to fraction form
    506,868.33/699,403.02 = 307,854/x
  3. Step 3: Cross multiply
    506,868.33x = 699,403.02 × 307,854
  4. Step 4: Simplify right side
    506,868.33x = 215,314,017,319.08
  5. Step 5: Solve for x
    x = 215,314,017,319.08/506,868.33
  6. Step 6: Final answer
    x = 424,792.80

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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.