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Finding the Fourth Proportional to 513,061.84, 708,021.66 and 286,707.34

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Solution

The fourth proportional to 513,061.84, 708,021.66 and 286,707.34 is: 395,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,061.84 : 708,021.66 = 286,707.34 : x
  2. Step 2: Convert to fraction form
    513,061.84/708,021.66 = 286,707.34/x
  3. Step 3: Cross multiply
    513,061.84x = 708,021.66 × 286,707.34
  4. Step 4: Simplify right side
    513,061.84x = 202,995,006,800.98
  5. Step 5: Solve for x
    x = 202,995,006,800.98/513,061.84
  6. Step 6: Final answer
    x = 395,654.07

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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.