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Finding the Fourth Proportional to 513,510.52, 708,742.56 and 344,040.16

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Solution

The fourth proportional to 513,510.52, 708,742.56 and 344,040.16 is: 474,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,510.52 : 708,742.56 = 344,040.16 : x
  2. Step 2: Convert to fraction form
    513,510.52/708,742.56 = 344,040.16/x
  3. Step 3: Cross multiply
    513,510.52x = 708,742.56 × 344,040.16
  4. Step 4: Simplify right side
    513,510.52x = 243,835,903,741.21
  5. Step 5: Solve for x
    x = 243,835,903,741.21/513,510.52
  6. Step 6: Final answer
    x = 474,841.11

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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.