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Finding the Fourth Proportional to 565,677.38, 780,648.14 and 307,569.08

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Solution

The fourth proportional to 565,677.38, 780,648.14 and 307,569.08 is: 424,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,677.38 : 780,648.14 = 307,569.08 : x
  2. Step 2: Convert to fraction form
    565,677.38/780,648.14 = 307,569.08/x
  3. Step 3: Cross multiply
    565,677.38x = 780,648.14 × 307,569.08
  4. Step 4: Simplify right side
    565,677.38x = 240,103,230,223.51
  5. Step 5: Solve for x
    x = 240,103,230,223.51/565,677.38
  6. Step 6: Final answer
    x = 424,452.59

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1.5x scale

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.