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Finding the Fourth Proportional to 514,940.16, 710,484 and 310,829.76

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Solution

The fourth proportional to 514,940.16, 710,484 and 310,829.76 is: 428,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,940.16 : 710,484 = 310,829.76 : x
  2. Step 2: Convert to fraction form
    514,940.16/710,484 = 310,829.76/x
  3. Step 3: Cross multiply
    514,940.16x = 710,484 × 310,829.76
  4. Step 4: Simplify right side
    514,940.16x = 220,839,571,203.84
  5. Step 5: Solve for x
    x = 220,839,571,203.84/514,940.16
  6. Step 6: Final answer
    x = 428,864.53

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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.