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Finding the Fourth Proportional to 559,344.79, 771,838.27 and 314,290.63

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Solution

The fourth proportional to 559,344.79, 771,838.27 and 314,290.63 is: 433,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,344.79 : 771,838.27 = 314,290.63 : x
  2. Step 2: Convert to fraction form
    559,344.79/771,838.27 = 314,290.63/x
  3. Step 3: Cross multiply
    559,344.79x = 771,838.27 × 314,290.63
  4. Step 4: Simplify right side
    559,344.79x = 242,581,536,136.41
  5. Step 5: Solve for x
    x = 242,581,536,136.41/559,344.79
  6. Step 6: Final answer
    x = 433,688.74

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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.