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Finding the Fourth Proportional to 561,314.55, 841,807.80 and 201,443.70

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Solution

The fourth proportional to 561,314.55, 841,807.80 and 201,443.70 is: 302,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,314.55 : 841,807.80 = 201,443.70 : x
  2. Step 2: Convert to fraction form
    561,314.55/841,807.80 = 201,443.70/x
  3. Step 3: Cross multiply
    561,314.55x = 841,807.80 × 201,443.70
  4. Step 4: Simplify right side
    561,314.55x = 169,576,877,920.86
  5. Step 5: Solve for x
    x = 169,576,877,920.86/561,314.55
  6. Step 6: Final answer
    x = 302,106.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.