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Finding the Fourth Proportional to 559,343.79, 771,836.90 and 314,289.63

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Solution

The fourth proportional to 559,343.79, 771,836.90 and 314,289.63 is: 433,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,343.79 : 771,836.90 = 314,289.63 : x
  2. Step 2: Convert to fraction form
    559,343.79/771,836.90 = 314,289.63/x
  3. Step 3: Cross multiply
    559,343.79x = 771,836.90 × 314,289.63
  4. Step 4: Simplify right side
    559,343.79x = 242,580,332,149.90
  5. Step 5: Solve for x
    x = 242,580,332,149.90/559,343.79
  6. Step 6: Final answer
    x = 433,687.36

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Double scale
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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.