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Finding the Fourth Proportional to 565,095.25, 779,831.76 and 310,462.84

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Solution

The fourth proportional to 565,095.25, 779,831.76 and 310,462.84 is: 428,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,095.25 : 779,831.76 = 310,462.84 : x
  2. Step 2: Convert to fraction form
    565,095.25/779,831.76 = 310,462.84/x
  3. Step 3: Cross multiply
    565,095.25x = 779,831.76 × 310,462.84
  4. Step 4: Simplify right side
    565,095.25x = 242,108,782,931.80
  5. Step 5: Solve for x
    x = 242,108,782,931.80/565,095.25
  6. Step 6: Final answer
    x = 428,438.89

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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.