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Finding the Fourth Proportional to 514,942.16, 710,486.76 and 310,831.76

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Solution

The fourth proportional to 514,942.16, 710,486.76 and 310,831.76 is: 428,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,942.16 : 710,486.76 = 310,831.76 : x
  2. Step 2: Convert to fraction form
    514,942.16/710,486.76 = 310,831.76/x
  3. Step 3: Cross multiply
    514,942.16x = 710,486.76 × 310,831.76
  4. Step 4: Simplify right side
    514,942.16x = 220,841,850,067.50
  5. Step 5: Solve for x
    x = 220,841,850,067.50/514,942.16
  6. Step 6: Final answer
    x = 428,867.29

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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.