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Finding the Fourth Proportional to 559,649.30, 772,343.40 and 314,711.13

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Solution

The fourth proportional to 559,649.30, 772,343.40 and 314,711.13 is: 434,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,649.30 : 772,343.40 = 314,711.13 : x
  2. Step 2: Convert to fraction form
    559,649.30/772,343.40 = 314,711.13/x
  3. Step 3: Cross multiply
    559,649.30x = 772,343.40 × 314,711.13
  4. Step 4: Simplify right side
    559,649.30x = 243,065,068,238.50
  5. Step 5: Solve for x
    x = 243,065,068,238.50/559,649.30
  6. Step 6: Final answer
    x = 434,316.76

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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.