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Finding the Fourth Proportional to 570,315, 787,007.82 and 312,186.84

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Solution

The fourth proportional to 570,315, 787,007.82 and 312,186.84 is: 430,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,315 : 787,007.82 = 312,186.84 : x
  2. Step 2: Convert to fraction form
    570,315/787,007.82 = 312,186.84/x
  3. Step 3: Cross multiply
    570,315x = 787,007.82 × 312,186.84
  4. Step 4: Simplify right side
    570,315x = 245,693,484,381.09
  5. Step 5: Solve for x
    x = 245,693,484,381.09/570,315
  6. Step 6: Final answer
    x = 430,803.13

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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.